17 The Nyquist theorem for sampling 1) Relates the conditions in time domain and frequency domain. 4) Gives the spectrum of the signal. For queries regarding questions and quizzes, use the comment area below respective pages. • Nyquist theorem states that the sampling frequency must be at least twice the bandwidth of continuous-time signal to avoid aliasing. In this article, an efficient solution to find x … The Nyquist Theorem, also known as the sampling theorem, is a principle that engineers follow in the digitization of analog signals. The Nyquist theorem must be considered in direct imaging applications because the signal is sampled by the discrete pixel elements in an array. Examples of Content related issues. The Nyquist theorem specifies that a sinuisoidal function in time or distance can be regenerated with no loss of information as long as it is sampled at a frequency greater than or equal to twice per cycle. If the sampling frequency is very higher than the Nyquist rate it becomes Oversampling, theoretically a bandwidth-limited signal can be reconstructed if sampled above the Nyquist rate. D All the four are correct. It is also known as the minimum sampling rate and given by: Fs =2*fh Quantization – 3) Limits the bandwidth requirement. 2) Helps in quantization. Bandwidth : Bandwidth is defined as the potential of the data that is to be transferred in a specific period of time. For analog-to-digital conversion to result in a faithful reproduction of the signal, slices, called samples, of the analog waveform must be taken frequently.The number of samples per second is called the sampling rate or sampling frequency. Sure you can. 1 and 2 are correct c. 1 and 3 are correct d. All the four are correct. Software related issues. 1. The sampling theorem states that, “a signal can be exactly reproduced if it is sampled at the rate f s which is greater than twice the maximum frequency W .” 1, 2 and 3 are correct b. The sampling theorem, which is also called as Nyquist theorem, delivers the theory of sufficient sample rate in terms of bandwidth for the class of functions that are bandlimited. Nyquist Theorem: One important consideration is the sampling rate or frequency. EE 7950: Statistical Communication Theory 2 Average Signal Power Scan be expressed as S= kE b T = RE b; †E b is the energy per bit †kis the number of bits transmitted per symbol †Tis the duration of a symbol †R= k=Tis the transmission rate of the system in bits/s. ANSWER: (c) 1 and 3 are correct. 1) Relates the conditions in time domain and frequency domain 2) Helps in quantization 3) Limits the bandwidth requirement 4) Gives the spectrum of the signal. • Therefore, standard sampling frequency (fs) for speech signals is fs = 2*4kHz = 8kHz • If the number of bits to represent each sample is 16. Sampling frequency, Fs>=2*fmax to avoid Aliasing Effect. According to the Nyquist Theorem, the sampling rate should be at least 2 times the upper cutoff frequency. It is the data carrying capacity of the network or transmission medium. Roy McCammon’s answer is a fine example - a printed book in the mail has millions of signal levels, and is sent as a single symbol. B 1 and 2 are correct. 5) The Nyquist theorem for sampling. C 1 and 3 are correct. A 1, 2 and 3 are correct. a. Chinese Remainder Theorem | Set 1 (Introduction) We have discussed a Naive solution to find minimum x. 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