Question

ter with the following structure 1. Design an IR low-pass fil Where a, b, c.are free parameters that are designed to achieve: () unit gain at zero frequency, (i) cutoff frequency at 20 Hz (gain of 1/sqrt 2) and (ii) NULL gain at Splice frequency. The filter is implemented with a sampling frequency of 1 kbz Drawing the magnitude of the response in Frequency H (w) y (w)/x (w) -Get the proper location of the pole and the zero of the filter. -Draw an implementa tion of the IIR filter, in term of memory units, scales and sums

Answer 1

-a e Ci) 0.04T 3 + o.qq2. c)' + e .125 3 c). _ (t-ao.qq2)24(.assa (A putt* r we et Nout trese a 2 十( 0-1253-0 * 2506b

,. 984b t 2 ( o.oo8) Solvin i loc aeh lo inatoで C n) 굿-} -O. 05

Magnitude response:

magnitude of H(e/w) 0.9 0.8 0.7 0.6 F 0.5 0.4 0.3 0.2 0.1 -4 -3 .2 2 3 4

MATLAB Drive magniresponse.m 1w--pi:0.01:pi; 2 b-0.0594; a-0.8812; 4 plot (w,abs (H)); 5 xlabel('w'); 6 ylabel ("H(e~jw); 7 title( magnitude of H(ejw)");