By infinitely increasing the signal-to-noise ratio (SNR) of a channel, this channel will have infinitely large error-free channel capacity. True False
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- Example: A telephone line has a bandwidth of 3000. The signal-to-noise ratio is usually 3162. For this channel the capacity is calculated asCounter Its auvel The Nyquist theorem for noiseless channel states that the capacity in bits per second of a channel is equal to the bandwidth multiplied by the logarithm (to the base 2) of the sum of the signal to noise power and 1. In mathematical statement: C= Bx log2(SNR 1)* True FalseThe highest frequency in a composite analog signal is 16 hertz. Choose the best sampling rate of the signal in Pulse code modulation, so that the original signal can be reproduced at the receiver side.
- Calculate the theoretical maximum channel capacity of a noisy channel with bandwidth 6 kHz if the signal-to-noise ratio is 27 dB. Give your answer to 3 significant figures and state what noise properties are assumed.For a noiseless channel, the Nyquist bit rate formula defines the theoretical maximum bit rate. Clarify?Q2The signal-to-noise ratio is often given in decibels. Assume that SNRAB=38 and the channel bandwidth is 3 MHz. What is The theoretical channel capacity ?
- Q10/ --- is minimum sampling rate to avoid aliasing when a continuous time signal is given by x(t) = 5 cos 40πt. Oa) 10 Hz Ob) 20 Hz Oc) 40 Hz d) 800 HzWe would like to design a bandpass filter in a DSP system which attenuates a signal outside the range of frequencies from 1000 Hz to 2000 Hz with near unity gain within the passband. The maximum bandwidth for any input signal is below 5000 Hz. (a) What is the minimum sampling rate f, that should be used for this DSP system? (b) With a sampling rate equal to fs, start by designing a corresponding lowpass filter, using a rectangular window of length 60. Note that you will afterwards transform this lowpass filter into the required bandpass filter, so choose the parameters accordingly. Write the expression for the impulse response hLP[n] of this filter. (c) Find the impulse response hep[n] of the bandpass filter by transforming the appropriate lowpass filter from part (b). Note: Be careful when applying equations from Slide 20.11. The derivation on Slide 20.11 assumed no "delay" to make the filter causal. If your resulting hap[n] is not symmetric, then you have not applied the delay…For a channel with C/B ratio= 5, Signal to Noise (S/N) Ratio in dB equals (where C=channel capacity and B = Bandwidth )
- I A channel has a frequency range between 3 KHz and 14 KHz. The SNR in this channel is 25 dB. Find the maximum Bit rate of the channel and the Signal levels. [3 marks] For a bit stream "0 1 1 0 0 1 0 1", sketch the waveforms for (i) NRZ-I - (Assume the initial level at time zero is Low) (ii) NRZ-L - (assume 0 as High and 1 as Low) (iii) RZ Encoding – (Assume the initial level at time zero is Low) [3 marks]Gap between the spectral components of sampled signal in frequency domain can be increased by increasing the sampling frequency. Select one: O True FalseBandwidth of x(t) 5 cos(1000t) 500 500n cs l ow koveoeewemReepewse 57 A 2000 500/n 1000/n Ideal sampling is used Delta signal for sampling Sine wave signal for sampling Triangular signal for sampling Cosine wave signal for sampling Pulse signal for sampling