ENS4443
Digital Signal Processing
Tutorial No. 1
1. Consider the following signal
x a ( t ) = 20 sin 50 t + 2 ( cos 16t ) 2
(i) Determine the Nyquist rate of this signal.
(ii) What is the maximum required sampling period to avoid aliasing?
(iii) If this s

ENS4443
Digital Signal Processing
Tutorial No. 3
1. Determine the autocorrelation sequences of the following signals.
(a)
x ( n ) = cfw_ 1, 2, 1, 1
(b)
y ( n ) = cfw_ 1, 1, 2, 1
What is your conclusion.
2. Compute the correlation sequences
r xx ( l )
an

ENS4443
Digital Signal Processing
Tutorial No. 2
1. Compute the impulse response and determine the stability of the following causal LTI systems.
Determine also whether they are FIR or IIR systems.
(i) y ( n ) = x ( n ) 0.25x ( n 2 )
(ii) y ( n ) = 0.25y