{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

probset-seven

# probset-seven - EE533 Problem Set-7 1 The CT signal xc(t =...

This preview shows pages 1–2. Sign up to view the full content.

EE533 Problem Set-7 1. The CT signal x c ( t ) = cos 200 πt + 3 sin 320 πt is ideally sampled at f s = 250 Hz. What frequency components are present in the resulting x s ( t ) in the interval 0-200 Hz? 2. Consider the CT signal x c ( t ) = sin 20 πt + 2 cos 40 πt . (a) Let x c ( t ) be sampled at a rate f s Hz to obtain x ( n ) = sin πn/ 5 + 2 cos 2 πn/ 5 . Determine a choice of f s consistent with this information such that there is no aliasing of either frequency component. (b) Let the sampling rate f s be such that there is no aliasing of the lower frequency component. The DT signal here is w ( n ) = sin 2 πn/ 3 + 2 cos ω 0 n . Determine f s and ω 0 , 0 < ω 0 < π . (c) Deﬁne the signal y ( n ) = w 2 ( n ). Specify the frequencies of all the components of y ( · ) in the range [0 , π ]. 3. Determine the N -point DFTs of the following sequences deﬁned for 0 n N - 1: (a) x a ( n ) = sin(2 πn/N ), (b) x b ( n ) = cos 2 (2 πn/N ). 4. Let

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

probset-seven - EE533 Problem Set-7 1 The CT signal xc(t =...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online