📄 nco.v
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//
// NCO Demo (Numerically controlled Oscillator).
//
// One type of NCO is based on the idea of a continuously wrapping modulo
// counter. The NCO is a programmable modulo counter. For example, if
// the MOD input is set to 10, then it'll count 0,1,2,3,4,5,6,7,8,9,0,1,2 etc.
// The STEP input is continuously added to the modulo counter. What's important
// is not the counter value itself, but the number of times it "wraps". If
// you do the math, the counter will wrap at a rate of F*S/M (F is the system
// clock frequency, S is the step input, and M is the modulo). Every wrap
// occurance is a little pulse. The pulse output could be used as the clock itself
// except that it may have a very small duty cycle. Instead, take the WRAP
// pulse signal and use it to increment a TICKS counter. The TICKS counter will
// then count at the programmed frequency.
//
// The TICK counter could be used in itself for, say, a TDMA slot counter. Any
// number of TICKS LSB bits can be thrown away to "reduce jitter" but also
// reduce the rate. This NCO has a little MASK input and an internal OR gate
// so you can pick off whichever TICKS bits you wish for your final FOUT output.
//
// In an open-loop mode, you program your Modulo and Step inputs and you are done.
// If you are tracking some other reference (e.g. like in a PLL style circuit) you
// would somehow control STEP via some sort of "phase detector" and loop filter.
// None of this is shown here.
//
// Anyway, this is just the guts of the NCO, which can be applied in many, many
// ways.
//
// Oh.. And this NCO seems to be off by a small percentage..?!.. I'm not sure
// why. It may be the circuit or the testbench. Let me know if you play with it
// and find out. My application is closed-loop, so, I'm not highly motivated
// to figure it out.
//
// Written by tom coonan
//
module nco (
clk,
resetb,
step, // Step input is continuously added to the modulo counter
mod, // modulo
mask, // Mask is ANDed with ticks and gen ORed to produce fout
ticks, // Tick counter output
fout // Output.
);
parameter W_ACCUM = 24; // Width of the Accumulator
parameter W_TICK = 8; // Width of the Tick counter.
parameter W_STEP = 24;
parameter W_MOD = 24;
input clk;
input resetb;
input [W_STEP-1:0] step;
input [W_MOD-1:0] mod;
input [W_TICK-1:0] mask;
output [W_TICK-1:0] ticks;
output fout;
// Registered outputs
// Internals
reg [W_ACCUM-1:0] accum, accum_in;
reg [W_TICK-1:0] ticks;
// *** Modulo Counter ***
// Registered outputs
reg wrap;
wire [W_ACCUM-1:0] sum = accum + step;
wire [W_ACCUM-1:0] rem = sum - mod;
wire over = (sum >= mod);
always @(posedge clk or negedge resetb)
if (~resetb) accum <= 0;
else accum <= accum_in;
always @(over or rem or sum) begin
if (over) begin
// Wrap!
accum_in <= rem; // load remainder instead of sum
wrap <= 1;
end
else begin
// No wrap, just add
accum_in <= sum;
wrap <= 0;
end
end
// *** Tick Counter ***
//
always @(posedge clk) begin
if (~resetb) ticks <= 0;
else begin
// Whenever Modulo counter wraps, increment the tick counter.
if (wrap)
ticks <= ticks + 1;
end
end
// *** Masks and final output *** //
assign fout = |(ticks & mask);
endmodule
module ncotest;
reg clk;
reg resetb;
reg [23:0] step;
reg [23:0] mod;
reg [7:0] mask;
wire fout;
wire [7:0] ticks;
parameter W_ACCUM = 24; // Width of the Accumulator
parameter W_TICK = 8; // Width of the Tick counter.
parameter W_STEP = 24;
parameter W_MOD = 24;
nco nco1 (
.clk(clk),
.resetb(resetb),
.step(step),
.mod(mod),
.mask(mask),
.fout(fout),
.ticks(ticks)
);
parameter PERIOD_NS = 36;
parameter DUMP_ON = 1;
real sys_freq;
initial begin
step = 0;
mod = 0;
mask = 8'b00000001; // Final Divider for FOUT
sys_freq = 1000000000.0/(PERIOD_NS);
#300;
// Display the basic such as system clock frequency, etc.
//
$display ("NCO Test. NCO Accumulator width is %0d bits, system clock period is %0d ns (%fMHz).",
W_ACCUM,
PERIOD_NS,
sys_freq
);
// Program Modulo and Step for desired frequency. Modulo and Step values should
// not be divisible by each other (I'm not mathematically strong enough to
// justify this...). Find the ratio of S/M, integerize it, and reduce to lowest
// common divisors. Then, multiply up by a big power of 2 so we can get some
// resolution on the NCO.
//
// Let's generate 1Mhz, Fsys*(Step/Mod)/2 = 27777777.777*(S/M)/2 = 1000000
// S/M = 0.072 = 72/1000 = 9/125 (9 * 2^12) / (125 * 2^12)
//
mod = 125 << 12; // Shift up so we get resolution..
step = 9 << 12; // Shift up so we get resolution..
nco_test (mod, step, 1000000); // Run test for specified interval (units are NS)
// Generate 10.24MHz: Fsys*(Step/Mod)/2 = 27777777.777*(S/M)/2 = 10240000
// S/M = 0.73728 = 73728/100000 = 9216/12500 = 4608/6250 = 2304/3125
//
mod = 3125 << 10; // Shift up so we get resolution..
step = 2304 << 10; // Shift up so we get resolution..
nco_test (mod, step, 1000000); // Run test for specified interval (units are NS)
// Generate 32.768 KHz using TICKS MSB (divide by 8):
// Fsys*(Step/Mod) = 27777777.777*(S/M) = 32768*256
// S/M = 0.301989888 =~ 0.302 = 302/1000 = 151/500
//
mask = 8'b10000000; // Divide by 256
mod = 500 << 12;
step = (151 << 12) - 9566; // Manually Tweaked this to get the right number..
// this is expected since didn't have a good integer
// ratio above..
nco_test (mod, step, 1000000); // Run test for specified interval (units are NS)
$display ("Done.");
$finish;
end
// Run a single trial of the NCO test.
//
task nco_test;
input [23:0] mod_arg;
input [23:0] step_arg;
input interval;
integer interval; // Use $time.. Make sure timescale is correct!
integer start_time;
integer fout_edges;
begin
step = step_arg; // Configure NCO
mod = mod_arg;
// Count rising edges on FOUT which is the output frequency
fout_edges = 0;
start_time = $time; // Note our starting time
// Loop for at least the specified amount of time
while ( ($time - start_time) < interval) begin
@(posedge fout); // Wait for an edge on FOUT
fout_edges = fout_edges + 1;
end
// Done. Display results and expected results.
$display ("For Mod=%0d(0x%h), Step=%0d(0x%h), Frequency of fout = %f Hz, Expected fout is %f Hz.",
mod, mod,
step, step,
((fout_edges*1.0)/($time - start_time))*1000000000.0, // measured..
((step*1.0)/(mod*1.0))*(sys_freq)/(mask*2.0) // expected..
);
end
endtask
// Let's clock it at about 27 MHz
initial begin
clk = 0;
forever begin
#(PERIOD_NS/2) clk = ~clk;
end
end
initial begin
resetb = 0;
#200 resetb = 1;
end
initial begin
if (DUMP_ON) begin
$dumpfile ("nco.vcd");
$dumpvars (0,ncotest);
end
end
endmodule
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