EEC 410 Signal Processing Examen 2022

Extrait du sujet

1. Compute the time series measures M (mean), E (energy), and P (power) associated with the one-sided exponential x(n) = a nu(n).

2. a.

   Determine the FT representation for the signal given as x(t) = e −3tu(−t). Evaluate its magnitude and phase response. b) A time domain rectangular pulse has a Fourier Transform as a sinc function, and a frequency domain rectangular pulse also has IFT as a sinc function. Show this using the rectangular pulses x(t) = A rect(t/T ) (height A, from −T /2 to T /2) and X(jω) = rect(ω/2W ) (height 1, from −W to W ).