6.1 A1 kHz sine wave is sampled at frequency of 5 kHz. (a) What is the Nyquist frequency of the sampling system in this case? Show your work. (b) What is the Nyquist rate of the signal? Show your work. (c) Is the signal properly sampled; that is, will there be aliases in the digitally recorded signal? Explain.
6.1 A1 kHz sine wave is sampled at frequency of 5 kHz. (a) What is the Nyquist frequency of the sampling system in this case? Show your work. (b) What is the Nyquist rate of the signal? Show your work. (c) Is the signal properly sampled; that is, will there be aliases in the digitally recorded signal? Explain.
Chapter25: Television, Telephone, And Low-voltage Signal Systems
Section25.3: Signal System
Problem 1R
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6.1 A 1 kHz sine wave is sampled at frequency of 5 kHz.
(a) What is the Nyquist frequency of the sampling system in this case? Show
your work.
(b) What is the Nyquist rate of the signal? Show your work.
(c) Is the signal properly sampled; that is, will there be aliases in the digitally
recorded signal? Explain.
(d) What if the original analog signal included both even and odd harmonics of its
primary frequency; that is, 2, 3, 5 kHz, etc. What would be the highest harmonic
that will be faithfully represented in the discrete-time version of the analog
signal?
(e) Following on with the previous step, what is the lowest harmonic that will be
aliased and what would be resulting alias frequency?
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