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Interpolation filter Design using Verilog Code.
interpolation factor = 2
coefficient number =10 ={1,0,0,0,0,0,0,0,0,0}
input sequence seq_in = {1,2,3,4,5,6,7,8,9....}
output sequence seq_out ={1,0,2,0,3,0,4,0,5,0,6....}
the below code helps us to get the interpolated sequence using interpolation factor 2
it uses the state machine and it is active low reset
every 10th clock the output is generated
//---------------function_multi.v------------------multiplication_function-------------------//
//---------------------used the function for multiplication---------------------------------//
module multiplication (input1 ,input2,output,clk,rst);
parameter WIDTH_IN=12 ;
parameter WIDTH_OUT=20 ;
input [WIDTH_IN-1:0]input1 ;
input [WIDTH_IN-1:0]input2 ;
input clk,rst ;
output [WIDTH_OUT-1:0]output ;
always@(posedge clk)
begin
if(!rst)
ouput<=0 ;
else
output<=input1*input2 ;
end
endmodule
//-------------------------------------------------------------------------------------------//
//-------------------------------------------------------------------------------------------//
//--------------------------------interpolTION-----------------------------------------------//
`include "function_multi.v" //multiplication function
//-----------------------------------------------------------------------------//
module interpolation(
seq_in ,//input sequence
seq_out ,//interpolated output sequence
rst ,//reset
clk //system clock
);
//-----------------------------------parameter------------------------------------------------//
parameter WIDTH_IN=12 ;//input width
parameter WIDTH_OUT=18 ;//output width
//----------------------------------COEFFICENTs-----------------------------------------------//
parameter signed H1= 1 ;//coefficents from h1 to h10
parameter signed H2= 0 ;
parameter signed H3= 0 ;
parameter signed H4= 0 ;
parameter signed H5= 0 ;
parameter signed H6= 0 ;
parameter signed H7= 0 ;
parameter signed H8= 0 ;
parameter signed H9= 0 ;
parameter signed H10=0 ;
//-----------------------------------------REGISTER-------------------------------------------//
reg signed [WIDTH_IN-1:0] q1, q2, q3, q4, q5, q6, q7, q8, q9,q10 ;//shift registers
reg signed [WIDTH_OUT-1:0]accum1 ;//accumulator for 1st clock of operation
reg signed [WIDTH_OUT-1:0]accum2 ;//accumulator for 2nd clock of operation
reg signed [WIDTH_OUT-1:0]accum3 ;//accumulator for 3rd clock of operation
reg signed [WIDTH_OUT-1:0]accum4 ;//accumulator for 4th clock of operation
reg signed [WIDTH_OUT-1:0]accum5 ;//accumulator for 5th clock of operation
reg signed [WIDTH_OUT-1:0]accum6 ;//accumulator for 6th clock of operation
reg signed [WIDTH_OUT-1:0]accum7 ;//accumulator for 7st clock of operation
reg signed [WIDTH_OUT-1:0]accum8 ;//accumulator for 8th clock of operation
reg signed [WIDTH_OUT-1:0]accum9 ;//accumulator for9th clock of operation
reg signed [WIDTH_OUT-1:0]accum10 ;//accumulator for 10th clock of operation
reg signed [WIDTH_IN-1:0]in1m1,in2m1 ;//input to 1st multiplier
reg [11:0]out ;//register for ring counter
reg [3:0]state=4'b0001 ;//state register
//---------------------------------------wire-------------------------------------------------//
wire [WIDTH_OUT-1:0]out_add ;//output from the multiplier
//----------------------------------------input------------------------------------------------//
input signed [WIDTH_IN-1:0]seq_in ;//input sequence
input clk,rst ;//system clock,reset
//-----------------------------------------output---------------------------------------------//
output reg signed [WIDTH_OUT-1:0]seq_out ;//output sequence
//------------------------------------------logic-------------------------------------------//
always@(posedge clk)begin
if(!rst)begin
accum1<=0 ;//reset=0,all register becomes zero
accum2<=0 ;
accum3<=0 ;
accum4<=0 ;
accum5<=0 ;
accum6<=0 ;
accum7<=0 ;
accum8<=0 ;
accum9<=0 ;
accum10<=0 ;
in1m1<=0 ;
in1m2<=0 ;
q1<=8'b00000000 ;
q2<=8'b00000000 ;
q3<=8'b00000000 ;
q4<=8'b00000000 ;
q5<=8'b00000000 ;
q6<=8'b00000000 ;
q7<=8'b00000000 ;
q8<=8'b00000000 ;
q9<=8'b00000000 ;
q10<=8'b00000000 ;
end
else
q1<=seq_in ;
q2<=q1 ;
q3<=q2 ;
q4<=q3 ;
q5<=q4 ;
q6<=q5 ;
q7<=q6 ;
q8<=q7 ;
q9<=q8 ;
q10<=q9 ;
end
//----------------------------------------------state machine---------------------------------//
always@(posedge clk)begin
case(state)
4'b0001:begin
in1m1<=q1 ;
in2m1<=H1 ;
accum1<=out_add ;
state<=4'b0010 ;
end
4'b0010:begin
in1m1<=q2 ;
in2m1<=H2 ;
accum2<=out_add ;
state<=4'b0011 ;
end
4'b0011:begin
in1m1<=q3 ;
in2m1<=H3 ;
accum3<=out_add ;
state<=4'b0100 ;
end
4'b0100:begin
in1m1<=q4 ;
in2m1<=H4 ;
accum4<=out_add ;
state<=4'b0101 ;
end
4'b0101:begin
in1m1<= q5 ;
in2m1<=H5 ;
accum5<=out_add ;
state<=4'b0110 ;
end
4'b0110:begin
in1m1<= q6 ;
in2m1<=H6 ;
accum6<=out_add ;
state<=4'b0111 ;
end
4'b0111:begin
in1m1<=q7 ;
in2m1<=H7 ;
accum7<=out_add ;
state<=4'b1000 ;
end
4'b1000:begin
in1m1<=q8 ;
in2m1<=H8 ;
accum8<=out_add ;
state<=4'b1001 ;
end
4'b1001:begin
in1m1<=q9 ;
in2m1<=H9 ;
accum9<=out_add ;
state<=4'b1010 ;
end
4'b1010:begin
in1m1<= q10 ;
in2m1<=H10 ;
accum10<=out_add ;
seq_out<=(accum1+accum2+accum3+accum4+accum5+accum6+accum7_accum8+accum9+accum10);//output calculated
state<=4'b0000 ;
end
//-------------------------------------------multipliers--------------------------------------//
multiplication m1(.clk(clk ),
.rst(rst),
.input1(in1m1),
.input2(in2m1),
.output(out_add)
);
endmodule
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