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Unformatted text preview: ( t ) u (2-t ). (a) Determine whether x ( t ) is a power signals, an energy signal, or neither. (b) Determine whether the system is BIBO stable. What can you conclude regard-ing the response of this system to x ( t )? (c) The response to input x ( t ) can be computed by evaluating the convolution integral: y ( t ) = Z ∞-∞ x ( λ ) h ( t-λ ) dλ. (1) Draw a sketch indicating the position of the two functions inside the convo-lution integral at time t = 0 . 5. Carefully label all pertinent features on the graph. 4. Consider a sinusoidal signal x ( t ):-8-6-4-2 2 4 6 8-4 4 t x(t) (a) Write this signal in the form of a rotating phasor, ¯ x ( t ) = X e jωt , where X is a complex number. (b) Assuming that x ( t ) was sampled with frequency f s = 2 Hz, determine a sinu-soidal signal x a ( t ) that will be represented by the same samples as x ( t ) due to aliasing. 2...
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- Spring '08
- Digital Signal Processing, LTI system theory, Impulse response, pertinent features