FIR Filters Problem 5.1 Determine the output of a ...jan/dsp/HW/FIR.pdf · System # I hi System #2...

6
FIR Filters 1 Problem 5.1 Determine the output of a centralized averager ݕሾሿ ൌ 1 3 ݔሺሾ 1ሿ ݔሾሿ ݔሾ െ 1ሿሻ for the input ݔሾሿ ൌ ሼ2 4 6 4 2 ሽ. Is this filter causal or no-causal? Problem 5.2: Compute the output y[n] for the length-4 filter whose coefficients are {bk} = {3, -1, 2, 1} Use the input signal ݔሾሿ ൌ ሼ2 4 6 4 2 ሽ Verify the answer with Matlab filter command. Problem 5.3: Determine and plot the impulse response of the FIR system ݕሾሿ ൌ ݔሾ െ ሿ Problem 5.4: Use MATLAB to compute the following product of polynomials: ሺሻ ൌ ሺ ሻሺ െ െ Problem 5.5:

Transcript of FIR Filters Problem 5.1 Determine the output of a ...jan/dsp/HW/FIR.pdf · System # I hi System #2...

Page 1: FIR Filters Problem 5.1 Determine the output of a ...jan/dsp/HW/FIR.pdf · System # I hi System #2 Figure I: Cascade connection of two LTI systems. (a) Suppose that System is a blurring

FIR Filters 

Problem 5.1 Determine the output of a centralized averager 13

1 1

for the input 24642 . Is this filter causal or no-causal?

Problem 5.2: Compute the output y[n] for the length-4 filter whose coefficients are {bk} = {3, -1, 2, 1} Use the input

signal 24642 Verify the answer with Matlab filter command. Problem 5.3: Determine and plot the impulse response of the FIR system

Problem 5.4: Use MATLAB to compute the following product of polynomials:

Problem 5.5:

Page 2: FIR Filters Problem 5.1 Determine the output of a ...jan/dsp/HW/FIR.pdf · System # I hi System #2 Figure I: Cascade connection of two LTI systems. (a) Suppose that System is a blurring

FIR Filters 

Problem 5.6:

Problem 5.7:

Page 3: FIR Filters Problem 5.1 Determine the output of a ...jan/dsp/HW/FIR.pdf · System # I hi System #2 Figure I: Cascade connection of two LTI systems. (a) Suppose that System is a blurring

FIR Filters 

Problem 5.8:

Problem 5.9:

Page 4: FIR Filters Problem 5.1 Determine the output of a ...jan/dsp/HW/FIR.pdf · System # I hi System #2 Figure I: Cascade connection of two LTI systems. (a) Suppose that System is a blurring

FIR Filters 

Problem 5.10:

Problem 5.11:

Page 5: FIR Filters Problem 5.1 Determine the output of a ...jan/dsp/HW/FIR.pdf · System # I hi System #2 Figure I: Cascade connection of two LTI systems. (a) Suppose that System is a blurring

FIR Filters 

Problem 5.12:

Problem 5.13:

Problem 5.14:

Page 6: FIR Filters Problem 5.1 Determine the output of a ...jan/dsp/HW/FIR.pdf · System # I hi System #2 Figure I: Cascade connection of two LTI systems. (a) Suppose that System is a blurring

FIR Filters 

Problem 5.15:

Problem 5.16: