The signal x(t) consists of sum of two components, x1(t) and x2(t).
The signal x(t) is bandlimited to 40 kHz, and it is sampled at a rate of 100 Khz to yield the sequence x(n).
It is desired to suppress the signal x2(t) by passing the sequence x(n) through a digital LP filter. The allowable amplitude distortion on |X1(f)|
is +/- 2% (delta1= 0.02) over the range 0 to 15KHz. Above 20 KHz, the filter must have an attenuation of at least 40 dB(delta2= 0.01).
1) Use Remez exchange algorithm to design the minimum order linear phase FIR filter that meets the specs above.From the plot of the magnitude characteristic of the filter frequency response, give the actual specs achieved by the filter
2) Compare the M obtd in part 1 with approx formulas given by the equations.
3) For the order M obtd in part (1), design an FIR digital lowpass filter using the window technique and the Hamming window. Compare the frequncy response characteristics of this design with those obtd in part (1)