# Three Fourier analysis of systems problems

Fourier Analysis of Systems:

1. A linear time-invariant continuous-time system has the frequency response function H(Ï?)=5cos(2Ï?), compute the system's impulse response h(t):

2. A signal with the highest frequency component at 10 kHz is to be sampled. To reconstruct the signal, the sampling must be done at a minimum frequency of:

3. An ideal low-pass digital filter has the frequency function H(Ï??) as shown in the figure (see attached doc). Determine the unit-pulse response h[n] of the filter. Note: The discontinuities occur at -Ï?/4 and +Ï?/4.

© BrainMass Inc. brainmass.com October 10, 2019, 2:44 am ad1c9bdddfhttps://brainmass.com/engineering/electrical-engineering/three-fourier-analysis-systems-problems-391816

#### Solution Preview

Hello and thank you for posting your question to Brainmass!

The solution is attached below in two files. the files are identical in content, ...

#### Solution Summary

The expert examines the three Fourier analysis of system problems.