Added missing signal modules

This commit is contained in:
2026-03-02 19:28:36 +01:00
parent 50f71a2985
commit 4e3521e94a
20 changed files with 795 additions and 67 deletions

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@@ -0,0 +1,29 @@
CAPI=2:
name: joppeb:signal:decimate_by_r_q15:1.0
description: Q1.15 integer-rate decimator
filesets:
rtl:
files:
- decimate_by_r_q15.v
file_type: verilogSource
targets:
default:
filesets:
- rtl
toplevel: decimate_by_r_q15
parameters:
- R
- CNT_W
parameters:
R:
datatype: int
description: Integer decimation ratio
paramtype: vlogparam
CNT_W:
datatype: int
description: Counter width for the decimation counter
paramtype: vlogparam

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@@ -0,0 +1,74 @@
`timescale 1ns/1ps
// =============================================================================
// Decimator by R
// Reduces the effective sample rate by an integer factor R by selecting every
// R-th input sample. Generates a one-cycle 'o_valid' pulse each time a new
// decimated sample is produced.
//
// Implements:
// For each valid input sample:
// if (count == R-1):
// count <= 0
// o_q15 <= i_q15
// o_valid <= 1
// else:
// count <= count + 1
//
// parameters:
// -- R : integer decimation factor (e.g., 400)
// output sample rate = input rate / R
// -- CNT_W : counter bit width, must satisfy 2^CNT_W > R
//
// inout:
// -- i_clk : input clock (same rate as 'i_valid')
// -- i_rst_n : active-low synchronous reset
// -- i_valid : input data strobe; assert 1'b1 if input is always valid
// -- i_q15 : signed 16-bit Q1.15 input sample (full-rate)
// -- o_valid : single-cycle pulse every R samples (decimated rate strobe)
// -- o_q15 : signed 16-bit Q1.15 output sample (decimated stream)
//
// Notes:
// - This module performs *pure downsampling* (sample selection only).
// It does not include any anti-alias filtering; high-frequency content
// above the new Nyquist limit (Fs_out / 2) will alias into the baseband.
// - For most applications, an anti-alias low-pass filter such as
// lpf_iir_q15 or a FIR stage should precede this decimator.
// - The output sample rate is given by:
// Fs_out = Fs_in / R
// - Typical usage: interface between high-rate sigma-delta or oversampled
// data streams and lower-rate processing stages.
// =============================================================================
module decimate_by_r_q15 #(
parameter integer R = 400, // decimation factor
parameter integer CNT_W = 10 // width so that 2^CNT_W > R (e.g., 10 for 750)
)(
input wire i_clk,
input wire i_rst_n,
input wire i_valid, // assert 1'b1 if always valid
input wire signed [15:0] i_q15, // Q1.15 sample at full rate
output reg o_valid, // 1-cycle pulse every R samples
output reg signed [15:0] o_q15 // Q1.15 sample at decimated rate
);
reg [CNT_W-1:0] cnt;
always @(posedge i_clk or negedge i_rst_n) begin
if (!i_rst_n) begin
cnt <= {CNT_W{1'b0}};
o_valid <= 1'b0;
o_q15 <= 16'sd0;
end else begin
o_valid <= 1'b0;
if (i_valid) begin
if (cnt == R-1) begin
cnt <= {CNT_W{1'b0}};
o_q15 <= i_q15;
o_valid <= 1'b1;
end else begin
cnt <= cnt + 1'b1;
end
end
end
end
endmodule

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@@ -0,0 +1,24 @@
CAPI=2:
name: joppeb:signal:lpf_iir_q15_k:1.0
description: First-order Q1.15 IIR low-pass filter
filesets:
rtl:
files:
- lpf_iir_q15_k.v
file_type: verilogSource
targets:
default:
filesets:
- rtl
toplevel: lpf_iir_q15_k
parameters:
- K
parameters:
K:
datatype: int
description: Filter shift factor
paramtype: vlogparam

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@@ -0,0 +1,64 @@
`timescale 1ns/1ps
// =============================================================================
// Low-Pass IIR Filter (Q1.15)
// Simple first-order infinite impulse response filter, equivalent to an
// exponential moving average. Provides an adjustable smoothing factor based
// on parameter K.
//
// Implements:
// Y[n+1] = Y[n] + (X[n] - Y[n]) / 2^K
//
// This is a purely digital one-pole low-pass filter whose time constant
// approximates that of an analog RC filter, where alpha = 1 / 2^K.
//
// The larger K is, the slower the filter responds (stronger smoothing).
// The smaller K is, the faster it reacts to changes.
//
// parameters:
// -- K : filter shift factor (integer, 4..14 typical)
// cutoff frequency Fs / ( * 2^K)
// larger K lower cutoff
//
// inout:
// -- i_clk : input clock
// -- i_rst_n : active-low reset
// -- i_x_q15 : signed 16-bit Q1.15 input sample (e.g., 0..0x7FFF)
// -- o_y_q15 : signed 16-bit Q1.15 filtered output
//
// Notes:
// - The arithmetic right shift implements division by 2^K.
// - Internal arithmetic is Q1.15 fixed-point with saturation
// to [0, 0x7FFF] (for non-negative signals).
// - Useful for smoothing noisy ADC / sigma-delta data streams
// or modeling an RC envelope follower.
// =============================================================================
module lpf_iir_q15_k #(
parameter integer K = 10 // try 8..12; bigger = more smoothing
)(
input wire i_clk,
input wire i_rst_n,
input wire signed [15:0] i_x_q15, // Q1.15 input (e.g., 0..0x7FFF)
output reg signed [15:0] o_y_q15 // Q1.15 output
);
wire signed [15:0] e_q15 = i_x_q15 - o_y_q15;
wire signed [15:0] delta_q15 = e_q15 >>> K; // arithmetic shift
wire signed [15:0] y_next = o_y_q15 + delta_q15; // clamp to [0, 0x7FFF] (handy if your signal is non-negative)
function signed [15:0] clamp01;
input signed [15:0] v;
begin
if (v < 16'sd0)
clamp01 = 16'sd0;
else if (v > 16'sh7FFF)
clamp01 = 16'sh7FFF;
else
clamp01 = v;
end
endfunction
always @(posedge i_clk or negedge i_rst_n) begin
if (!i_rst_n) o_y_q15 <= 16'sd0;
else o_y_q15 <= clamp01(y_next);
end
endmodule

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@@ -8,23 +8,23 @@
// -- CLK_HZ : input clock frequency in Hz
// -- FS_HZ : output sample frequency in Hz
// inout:
// -- clk : input clock
// -- rst_n : reset
// -- freq_hz : decimal number of desired generated frequency in Hz, 0-FS/2
// -- sin_q15/cos_q15 : I and Q outputs
// -- clk_en : output valid strobe
// -- i_clk : input clock
// -- i_rst_n : reset
// -- i_freq_hz : decimal number of desired generated frequency in Hz, 0-FS/2
// -- o_sin_q15/o_cos_q15 : I and Q outputs
// -- o_clk_en : output valid strobe
// =============================================================================
module nco_q15 #(
parameter integer CLK_HZ = 120_000_000, // input clock
parameter integer FS_HZ = 40_000 // sample rate
)(
input wire clk, // CLK_HZ domain
input wire rst_n, // async active-low reset
input wire [31:0] freq_hz, // desired output frequency (Hz), 0..FS_HZ/2
input wire i_clk, // CLK_HZ domain
input wire i_rst_n, // async active-low reset
input wire [31:0] i_freq_hz, // desired output frequency (Hz), 0..FS_HZ/2
output reg signed [15:0] sin_q15, // Q1.15 sine
output reg signed [15:0] cos_q15, // Q1.15 cosine
output reg clk_en // 1-cycle strobe @ FS_HZ
output reg signed [15:0] o_sin_q15, // Q1.15 sine
output reg signed [15:0] o_cos_q15, // Q1.15 cosine
output reg o_clk_en // 1-cycle strobe @ FS_HZ
);
localparam integer PHASE_FRAC_BITS = 6;
localparam integer QTR_ADDR_BITS = 6;
@@ -41,17 +41,17 @@ module nco_q15 #(
endfunction
reg [clog2(DIV)-1:0] tick_cnt;
always @(posedge clk or negedge rst_n) begin
if (!rst_n) begin tick_cnt <= 0; clk_en <= 1'b0; end
always @(posedge i_clk or negedge i_rst_n) begin
if (!i_rst_n) begin tick_cnt <= 0; o_clk_en <= 1'b0; end
else begin
clk_en <= 1'b0;
if (tick_cnt == DIV-1) begin tick_cnt <= 0; clk_en <= 1'b1; end
o_clk_en <= 1'b0;
if (tick_cnt == DIV-1) begin tick_cnt <= 0; o_clk_en <= 1'b1; end
else tick_cnt <= tick_cnt + 1'b1;
end
end
// 32-cycle shift-add multiply: prod = freq_hz * RECIP (no multiplications themself)
// Starts at clk_en, finishes in 32 cycles (<< available cycles per sample).
// 32-cycle shift-add multiply: prod = i_freq_hz * RECIP (no multiplications themself)
// Starts at o_clk_en, finishes in 32 cycles (<< available cycles per sample).
reg mul_busy;
reg [5:0] mul_i; // 0..31
reg [31:0] f_reg;
@@ -59,15 +59,15 @@ module nco_q15 #(
wire [95:0] recip_shift = {{32{1'b0}}, RECIP} << mul_i; // shift constant by i
always @(posedge clk or negedge rst_n) begin
if (!rst_n) begin
always @(posedge i_clk or negedge i_rst_n) begin
if (!i_rst_n) begin
mul_busy <= 1'b0; mul_i <= 6'd0; f_reg <= 32'd0; acc <= 96'd0;
end else begin
if (clk_en && !mul_busy) begin
if (o_clk_en && !mul_busy) begin
// kick off a new multiply this sample
mul_busy <= 1'b1;
mul_i <= 6'd0;
f_reg <= (freq_hz > (FS_HZ>>1)) ? (FS_HZ>>1) : freq_hz; // clamp to Nyquist
f_reg <= (i_freq_hz > (FS_HZ>>1)) ? (FS_HZ>>1) : i_freq_hz; // clamp to Nyquist
acc <= 96'd0;
end else if (mul_busy) begin
// add shifted RECIP if bit is set
@@ -86,16 +86,16 @@ module nco_q15 #(
wire [95:0] acc_round = acc + (96'd1 << (SHIFT-1));
wire [PHASE_BITS-1:0] ftw_next = acc_round[SHIFT +: PHASE_BITS]; // >> SHIFT
always @(posedge clk or negedge rst_n) begin
if (!rst_n) ftw_q <= {PHASE_BITS{1'b0}};
always @(posedge i_clk or negedge i_rst_n) begin
if (!i_rst_n) ftw_q <= {PHASE_BITS{1'b0}};
else if (!mul_busy) ftw_q <= ftw_next; // update once product ready
end
// Phase accumulator (advance at FS_HZ)
reg [PHASE_BITS-1:0] phase;
always @(posedge clk or negedge rst_n) begin
if (!rst_n) phase <= {PHASE_BITS{1'b0}};
else if (clk_en) phase <= phase + ftw_q;
always @(posedge i_clk or negedge i_rst_n) begin
if (!i_rst_n) phase <= {PHASE_BITS{1'b0}};
else if (o_clk_en) phase <= phase + ftw_q;
end
// Cosine phase = sine phase + 90°
@@ -113,8 +113,8 @@ module nco_q15 #(
// 64-entry quarter-wave LUT
wire [7:0] mag_sin_u8, mag_cos_u8;
sine_qtr_lut64 u_lut_s (.addr(idx_sin), .dout(mag_sin_u8));
sine_qtr_lut64 u_lut_c (.addr(idx_cos), .dout(mag_cos_u8));
sine_qtr_lut64 u_lut_s (.i_addr(idx_sin), .o_dout(mag_sin_u8));
sine_qtr_lut64 u_lut_c (.i_addr(idx_cos), .o_dout(mag_cos_u8));
// Scale to Q1.15 and apply sign
wire signed [15:0] mag_sin_q15 = {1'b0, mag_sin_u8, 7'd0};
@@ -125,39 +125,39 @@ module nco_q15 #(
wire signed [15:0] sin_next = sin_neg ? -mag_sin_q15 : mag_sin_q15;
wire signed [15:0] cos_next = cos_neg ? -mag_cos_q15 : mag_cos_q15;
always @(posedge clk or negedge rst_n) begin
if (!rst_n) begin
sin_q15 <= 16'sd0; cos_q15 <= 16'sd0;
end else if (clk_en) begin
sin_q15 <= sin_next; cos_q15 <= cos_next;
always @(posedge i_clk or negedge i_rst_n) begin
if (!i_rst_n) begin
o_sin_q15 <= 16'sd0; o_cos_q15 <= 16'sd0;
end else if (o_clk_en) begin
o_sin_q15 <= sin_next; o_cos_q15 <= cos_next;
end
end
endmodule
module sine_qtr_lut64(
input wire [5:0] addr,
output reg [7:0] dout
input wire [5:0] i_addr,
output reg [7:0] o_dout
);
always @* begin
case (addr)
6'd0: dout = 8'd0; 6'd1: dout = 8'd6; 6'd2: dout = 8'd13; 6'd3: dout = 8'd19;
6'd4: dout = 8'd25; 6'd5: dout = 8'd31; 6'd6: dout = 8'd37; 6'd7: dout = 8'd44;
6'd8: dout = 8'd50; 6'd9: dout = 8'd56; 6'd10: dout = 8'd62; 6'd11: dout = 8'd68;
6'd12: dout = 8'd74; 6'd13: dout = 8'd80; 6'd14: dout = 8'd86; 6'd15: dout = 8'd92;
6'd16: dout = 8'd98; 6'd17: dout = 8'd103; 6'd18: dout = 8'd109; 6'd19: dout = 8'd115;
6'd20: dout = 8'd120; 6'd21: dout = 8'd126; 6'd22: dout = 8'd131; 6'd23: dout = 8'd136;
6'd24: dout = 8'd142; 6'd25: dout = 8'd147; 6'd26: dout = 8'd152; 6'd27: dout = 8'd157;
6'd28: dout = 8'd162; 6'd29: dout = 8'd167; 6'd30: dout = 8'd171; 6'd31: dout = 8'd176;
6'd32: dout = 8'd180; 6'd33: dout = 8'd185; 6'd34: dout = 8'd189; 6'd35: dout = 8'd193;
6'd36: dout = 8'd197; 6'd37: dout = 8'd201; 6'd38: dout = 8'd205; 6'd39: dout = 8'd208;
6'd40: dout = 8'd212; 6'd41: dout = 8'd215; 6'd42: dout = 8'd219; 6'd43: dout = 8'd222;
6'd44: dout = 8'd225; 6'd45: dout = 8'd228; 6'd46: dout = 8'd231; 6'd47: dout = 8'd233;
6'd48: dout = 8'd236; 6'd49: dout = 8'd238; 6'd50: dout = 8'd240; 6'd51: dout = 8'd242;
6'd52: dout = 8'd244; 6'd53: dout = 8'd246; 6'd54: dout = 8'd247; 6'd55: dout = 8'd249;
6'd56: dout = 8'd250; 6'd57: dout = 8'd251; 6'd58: dout = 8'd252; 6'd59: dout = 8'd253;
6'd60: dout = 8'd254; 6'd61: dout = 8'd254; 6'd62: dout = 8'd255; 6'd63: dout = 8'd255;
default: dout=8'd0;
case (i_addr)
6'd0: o_dout = 8'd0; 6'd1: o_dout = 8'd6; 6'd2: o_dout = 8'd13; 6'd3: o_dout = 8'd19;
6'd4: o_dout = 8'd25; 6'd5: o_dout = 8'd31; 6'd6: o_dout = 8'd37; 6'd7: o_dout = 8'd44;
6'd8: o_dout = 8'd50; 6'd9: o_dout = 8'd56; 6'd10: o_dout = 8'd62; 6'd11: o_dout = 8'd68;
6'd12: o_dout = 8'd74; 6'd13: o_dout = 8'd80; 6'd14: o_dout = 8'd86; 6'd15: o_dout = 8'd92;
6'd16: o_dout = 8'd98; 6'd17: o_dout = 8'd103; 6'd18: o_dout = 8'd109; 6'd19: o_dout = 8'd115;
6'd20: o_dout = 8'd120; 6'd21: o_dout = 8'd126; 6'd22: o_dout = 8'd131; 6'd23: o_dout = 8'd136;
6'd24: o_dout = 8'd142; 6'd25: o_dout = 8'd147; 6'd26: o_dout = 8'd152; 6'd27: o_dout = 8'd157;
6'd28: o_dout = 8'd162; 6'd29: o_dout = 8'd167; 6'd30: o_dout = 8'd171; 6'd31: o_dout = 8'd176;
6'd32: o_dout = 8'd180; 6'd33: o_dout = 8'd185; 6'd34: o_dout = 8'd189; 6'd35: o_dout = 8'd193;
6'd36: o_dout = 8'd197; 6'd37: o_dout = 8'd201; 6'd38: o_dout = 8'd205; 6'd39: o_dout = 8'd208;
6'd40: o_dout = 8'd212; 6'd41: o_dout = 8'd215; 6'd42: o_dout = 8'd219; 6'd43: o_dout = 8'd222;
6'd44: o_dout = 8'd225; 6'd45: o_dout = 8'd228; 6'd46: o_dout = 8'd231; 6'd47: o_dout = 8'd233;
6'd48: o_dout = 8'd236; 6'd49: o_dout = 8'd238; 6'd50: o_dout = 8'd240; 6'd51: o_dout = 8'd242;
6'd52: o_dout = 8'd244; 6'd53: o_dout = 8'd246; 6'd54: o_dout = 8'd247; 6'd55: o_dout = 8'd249;
6'd56: o_dout = 8'd250; 6'd57: o_dout = 8'd251; 6'd58: o_dout = 8'd252; 6'd59: o_dout = 8'd253;
6'd60: o_dout = 8'd254; 6'd61: o_dout = 8'd254; 6'd62: o_dout = 8'd255; 6'd63: o_dout = 8'd255;
default: o_dout=8'd0;
endcase
end
endmodule
endmodule

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@@ -15,12 +15,12 @@ module tb_nco_q15();
wire out_en;
nco_q15 #(.CLK_HZ(120_000_000), .FS_HZ(40_000)) nco (
.clk (clk),
.rst_n (resetn),
.freq_hz(freq),
.sin_q15(sin_q15),
.cos_q15(cos_q15),
.clk_en (out_en)
.i_clk (clk),
.i_rst_n (resetn),
.i_freq_hz(freq),
.o_sin_q15(sin_q15),
.o_cos_q15(cos_q15),
.o_clk_en (out_en)
);
initial begin
@@ -39,4 +39,4 @@ module tb_nco_q15();
$finish;
end;
endmodule
endmodule

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@@ -0,0 +1,91 @@
// rc_alpha_q15.vh
// Plain Verilog-2001 constant function: R(ohm), C(pF), Fs(Hz) -> alpha_q15 (Q1.15)
// Uses fixed-point approximation: 1 - exp(-x) ≈ x - x^2/2 + x^3/6, where x = 1/(Fs*R*C)
// All integer math; suitable for elaboration-time constant folding (e.g., XST).
`ifndef RC_ALPHA_Q15_VH
`define RC_ALPHA_Q15_VH
function integer alpha_q15_from_rc;
input integer R_OHM; // ohms
input integer C_PF; // picofarads
input integer FS_HZ; // Hz
// Choose QN for x. N=24 is a good balance for accuracy/width.
integer N;
// We'll keep everything as unsigned vectors; inputs copied into vectors first.
reg [63:0] R_u, C_u, FS_u;
// x = 1 / (Fs * R * C) with C in pF -> x = 1e12 / (Fs*R*C_pf)
// x_qN = round( x * 2^N ) = round( (1e12 << N) / denom )
reg [127:0] NUM_1E12_SLLN; // big enough for 1e12 << N
reg [127:0] DENOM; // Fs*R*C
reg [127:0] X_qN; // x in QN
// Powers
reg [255:0] X2; // x^2 in Q(2N)
reg [383:0] X3; // x^3 in Q(3N)
integer term1_q15;
integer term2_q15;
integer term3_q15;
integer acc;
begin
N = 24;
// Copy integer inputs into 64-bit vectors (no bit-slicing of integers)
R_u = R_OHM[31:0];
C_u = C_PF[31:0];
FS_u = FS_HZ[31:0];
// Denominator = Fs * R * C_pf (fits in < 2^64 for typical values)
DENOM = 128'd0;
DENOM = FS_u;
DENOM = DENOM * R_u;
DENOM = DENOM * C_u;
// // Guard: avoid divide by zero
// if (DENOM == 0) begin
// alpha_q15_from_rc = 0;
// disable alpha_q15_from_rc;
// end
// Numerator = (1e12 << N). 1e12 * 2^24 ≈ 1.6777e19 (fits in 2^64..2^65),
// so use 128 bits to be safe.
NUM_1E12_SLLN = 128'd1000000000000 << N;
// x_qN = rounded division
X_qN = (NUM_1E12_SLLN + (DENOM >> 1)) / DENOM;
// Powers
X2 = X_qN * X_qN;
X3 = X2 * X_qN;
// Convert terms to Q1.15:
// term1 = x -> shift from QN to Q15
term1_q15 = (X_qN >> (N - 15)) & 16'hFFFF;
// term2 = x^2 / 2 -> Q(2N) to Q15 and /2
term2_q15 = (X2 >> (2*N - 15 + 1)) & 16'hFFFF;
// term3 = x^3 / 6 -> Q(3N) to Q15, then /6 with rounding
begin : gen_t3
reg [383:0] tmp_q15_wide;
reg [383:0] tmp_div6;
tmp_q15_wide = (X3 >> (3*N - 15));
tmp_div6 = (tmp_q15_wide + 6'd3) / 6;
term3_q15 = tmp_div6[15:0];
end
// Combine and clamp
acc = term1_q15 - term2_q15 + term3_q15;
if (acc < 0) acc = 0;
else if (acc > 16'h7FFF) acc = 16'h7FFF;
alpha_q15_from_rc = acc;
end
endfunction
`endif

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@@ -0,0 +1,55 @@
`timescale 1ns/1ps
// =============================================================================
// RC model to convert sigma delta samples to Q1.15
// Models the RC circuit on the outside of the FPGA
// Uses: Yn+1 = Yn + (sd - Yn)*(1-exp(-T/RC))
// parameters:
// -- alpha_q15 : the 1-exp(-T/RC), defaults to R=3k3, C=220p and T=1/15MHz
// rounded to only use two bits (0b3b -> 0b00), the less
// bits the better
// inout:
// -- i_clk : input clock
// -- i_rst_n : reset signal
// -- i_sd_sample : 1 bit sample output from sd sampler
// -- o_sample_q15 : output samples in q.15
// =============================================================================
module rcmodel_q15 #(
parameter integer alpha_q15 = 16'sh0b00
)(
input wire i_clk,
input wire i_rst_n,
input wire i_sd_sample,
output wire [15:0] o_sample_q15
);
reg signed [15:0] y_q15;
wire signed [15:0] sd_q15 = i_sd_sample ? 16'sh7fff : 16'sh0000;
wire signed [15:0] e_q15 = sd_q15 - y_q15;
// wire signed [31:0] prod_q30 = $signed(e_q15) * $signed(alpha_q15);
wire signed [31:0] prod_q30;
// Use shift-add algorithm for multiplication
mul_const_shiftadd #(
.C($signed(alpha_q15)),
.IN_W(16),
.OUT_W(32)
) alpha_times_e (
.i_x(e_q15),
.o_y(prod_q30)
);
wire signed [15:0] y_next_q15 = y_q15 + (prod_q30>>>15);
// clamp to [0, 0x7FFF] (keeps signal view tidy)
function signed [15:0] clamp01_q15(input signed [15:0] v);
if (v < 16'sd0000) clamp01_q15 = 16'sd0000;
else if (v > 16'sh7FFF) clamp01_q15 = 16'sh7FFF;
else clamp01_q15 = v;
endfunction
always @(posedge i_clk or negedge i_rst_n) begin
if (!i_rst_n) y_q15 <= 16'sd0000;
else y_q15 <= clamp01_q15(y_next_q15);
end
assign o_sample_q15 = y_q15;
endmodule

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@@ -0,0 +1,57 @@
module sd_adc_q15 #(
parameter integer R_OHM = 3300,
parameter integer C_PF = 220
)(
input wire i_clk_15,
input wire i_rst_n,
input wire i_adc_a,
input wire i_adc_b,
output wire o_adc,
output wire signed [15:0] o_signal_q15,
output wire o_signal_valid
);
`include "rc_alpha_q15.vh"
wire sd_signal;
wire signed [15:0] raw_sample_biased;
wire signed [15:0] raw_sample_q15;
wire signed [15:0] lpf_sample_q15;
sd_sampler sd_sampler(
.i_clk(i_clk_15),
.i_a(i_adc_a), .i_b(i_adc_b),
.o_sample(sd_signal)
);
assign o_adc = sd_signal;
localparam integer alpha_q15_int = alpha_q15_from_rc(R_OHM, C_PF, 15000000);
localparam signed [15:0] alpha_q15 = alpha_q15_int[15:0];
localparam signed [15:0] alpha_q15_top = alpha_q15 & 16'hff00;
rcmodel_q15 #(
.alpha_q15(alpha_q15_top)
) rc_model (
.i_clk(i_clk_15), .i_rst_n(i_rst_n),
.i_sd_sample(sd_signal),
.o_sample_q15(raw_sample_q15)
);
lpf_iir_q15_k #(
.K(10)
) lpf (
.i_clk(i_clk_15), .i_rst_n(i_rst_n),
.i_x_q15(raw_sample_q15),
.o_y_q15(lpf_sample_q15)
);
decimate_by_r_q15 #(
.R(375), // 15MHz/375 = 40KHz
.CNT_W(10)
) decimate (
.i_clk(i_clk_15), .i_rst_n(i_rst_n),
.i_valid(1'b1), .i_q15(lpf_sample_q15),
.o_valid(o_signal_valid), .o_q15(o_signal_q15)
);
endmodule

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module sd_sampler(
input wire i_clk,
input wire i_a,
input wire i_b,
output wire o_sample
);
wire comp_out;
lvds_comparator comp (
.a(i_a), .b(i_b), .o(comp_out)
);
reg registered_comp_out;
always @(posedge i_clk)
registered_comp_out <= comp_out;
assign o_sample = registered_comp_out;
endmodule

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CAPI=2:
name: joppeb:signal:sd_adc_q15:1.0
description: Sigma-delta ADC front-end with Q1.15 output
filesets:
rtl_common:
depend:
- joppeb:primitive:lvds_comparator
- joppeb:signal:lpf_iir_q15_k
- joppeb:signal:decimate_by_r_q15
- joppeb:util:mul_const
files:
- rtl/rc_alpha_q15.vh:
is_include_file: true
- rtl/rcmodel_q15.v
- rtl/sd_adc_q15.v
file_type: verilogSource
rtl_sampler:
files:
- rtl/sd_sampler.v
file_type: verilogSource
sim_sampler:
files:
- sim/sd_sampler.v
file_type: verilogSource
tb:
files:
- tb/tb_sd_adc_q15.v
file_type: verilogSource
targets:
default:
filesets:
- rtl_common
- rtl_sampler
toplevel: sd_adc_q15
parameters:
- R_OHM
- C_PF
sim:
default_tool: icarus
filesets:
- rtl_common
- sim_sampler
- tb
toplevel: tb_sd_adc_q15
parameters:
R_OHM:
datatype: int
description: RC filter resistor value in ohms
paramtype: vlogparam
C_PF:
datatype: int
description: RC filter capacitor value in pF
paramtype: vlogparam

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`timescale 1ns/1ps
// =============================================================================
// Sigma-Delta sampler
// Simulates an RC circuit between o_sample and i_b and i_a sine at i_a
// =============================================================================
module sd_sampler(
input wire i_clk,
input wire i_a,
input wire i_b,
output wire o_sample
);
// Sine source (i_a input / P)
parameter real F_HZ = 5000; // input sine frequency (1 kHz)
parameter real AMP = 1.5; // sine amplitude (V)
parameter real VCM = 1.65; // common-mode (V), centered in 0..3.3V
// Comparator behavior
parameter real VTH = 0.0; // threshold on (vp - vn)
parameter real VHYST = 0.05; // symmetric hysteresis half-width (V)
parameter integer ADD_HYST = 0; // 1 to enable hysteresis
// 1-bit DAC rails (feedback into RC)
parameter real VLOW = 0.0; // DAC 0 (V)
parameter real VHIGH = 3.3; // DAC 1 (V)
// RC filter (i_b input / N)
parameter real R_OHMS = 3300.0; // 3.3k
parameter real C_FARADS = 220e-12; // 220 pF
// Integration step (ties to `timescale`)
parameter integer TSTEP_NS = 10; // sim step in ns (choose << tau)
// ===== Internal state (simulation only) =====
real vp, vn; // comparator i_a/i_b inputs
real v_rc; // RC node voltage (== vn)
real v_dac; // DAC output voltage from o_sample
real t_s; // time in seconds
real dt_s; // step in seconds
real tau_s; // R*C time constant in seconds
real two_pi;
reg q; // comparator latched output (pre-delay)
reg out;
reg sampler;
initial sampler <= 1'b0;
always @(posedge i_clk) begin
sampler <= out;
end
assign o_sample = sampler;
// Helper task: update comparator with optional hysteresis
task automatic comp_update;
real diff;
begin
diff = (vp - vn);
if (ADD_HYST != 0) begin
// simple symmetric hysteresis around VTH
if (q && (diff < (VTH - VHYST))) q = 1'b0;
else if (!q && (diff > (VTH + VHYST))) q = 1'b1;
// else hold
end else begin
q = (diff > VTH) ? 1'b1 : 1'b0;
end
end
endtask
initial begin
// Init constants
two_pi = 6.283185307179586;
tau_s = R_OHMS * C_FARADS; // ~7.26e-7 s
dt_s = TSTEP_NS * 1.0e-9;
// Init states
t_s = 0.0;
q = 1'b0; // start low
out = 1'b0;
v_dac= VLOW;
v_rc = (VHIGH + VLOW)/2.0; // start mid-rail to reduce start-up transient
vn = v_rc;
vp = VCM;
// Main sim loop
forever begin
#(TSTEP_NS); // advance discrete time step
t_s = t_s + dt_s;
// 1) Update DAC from previous comparator state
v_dac = sampler ? VHIGH : VLOW;
// 2) RC low-pass driven by DAC: Euler step
// dv = (v_dac - v_rc) * dt/tau
v_rc = v_rc + (v_dac - v_rc) * (dt_s / tau_s);
vn = v_rc;
// 3) Input sine on i_a
vp = VCM + AMP * $sin(two_pi * F_HZ * t_s);
// 4) Comparator decision (with optional hysteresis)
comp_update();
// 5) Output with propagation delay
out = q;
end
end
endmodule

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`timescale 1ns/1ps
module tb_sd_adc_q15();
// Clock and reset generation
reg clk;
reg resetn;
initial clk <= 1'b0;
initial resetn <= 1'b0;
always #6.667 clk <= !clk;
initial #40 resetn <= 1'b1;
// Default run
initial begin
$dumpfile("out.vcd");
$dumpvars;
#2_000_000
$finish;
end;
wire sd_a;
wire sd_b;
wire sd_o;
wire signed [15:0] decimated_q15;
wire decimated_valid;
sd_adc_q15 #(
.R_OHM(3300),
.C_PF(220)
) dut(
.i_clk_15(clk), .i_rst_n(resetn),
.i_adc_a(sd_a), .i_adc_b(sd_b), .o_adc(sd_o),
.o_signal_q15(decimated_q15),
.o_signal_valid(decimated_valid)
);
endmodule