Question

For a 4 kHz sampling rate for 50 Hz power system , the sampling interval between two consecutive samples is how much

Answer 1

1

ECE 308-3 1

ECE 308

Sampling of Analog Signals

Quantization of Continuous-Amplitude

Signals

Z. Aliyazicioglu

Electrical and Computer Engineering Department

Cal Poly Pomona

ECE 308 -3

ECE 308-3 2

Sampling of Analog Signals

Example:

1. Find the minimum sampling rate required to avoid aliasing.

2. If , What is the discrete-time signal after sampling?

3. If , What is the discrete-time signal after sampling?

4. What is the frequency F of a sinusoidal that yields sampling

identical to obtained in part c?

a

The minimum sampling rate is

xa( ) 3cos100 t t = π

Solution:

Ω =100π F = 50 Hz

2 100Hz F F s = =

and the discrete-time signal is

( ) ( ) 3cos 3cos 3cos2 100 1

100 2 a x n x nT n nπ π n

π == ==

200 Fs = Hz

75 Fs = Hz

Answer 2

Answer:

2.5/10000

Explanation:

Δt= 1/4000 s (Note for 50 Hz system, 4 kHz sampling rate implies 80 samples per cycle.)