Consider a random process X (t) expanded in the form N, where Consider a random process X (t) expanded in the form N, where W’ (t) is a remainder noise term Consider a rate-1/2, constraint length-7 convolutional code with free distance d free = 10. Calculate the asymptotic coding gain for the following two channels […]
Consider a random process X (t) expanded in the form N, where Consider a random process X (t) expanded in the form N, where W’ (t) is a remainder noise term. The {Fi (t)} Ni = 1 form an orthonormal set over interval 0 = t = T, and the Xj are defined by. Let […]
Consider a random binary wave x (t) in which the The scheme shown in Figure may be viewed as a differential encoder (consisting of the modulo-2 adder and the 1-unit delay element) connected in cascade with a spec form of correlative coder consisting of the 1-unit delay element and summer). A single delay element is […]
Consider a phase-locked loop consisting of a multiplier, Consider a phase-locked loop consisting of a multiplier, loop filter, and voltage controlled oscillator (VCO). Let the signal applied to the multiplier input be a PSK signal defined by s(t) = Ac cos [2pfct + kpm(t)] where kp is the phase sensitivity, and the data signal m(t) […]
1. Product costs and period costs The costs that follow were extracted from the acc 1. Product costs and period costs The costs that follow were extracted from the accounting records of several different manufacturers: 1. Weekly wages of an equipment maintenance worker 2. Marketing costs of a soft drink bottler 3. Cost of sheet […]
A voice-grade channel of the telephone network has a bandwidth A voice-grade channel of the telephone network has a bandwidth of 3.4 kHz. (a) Calculate the information capacity of the telephone channel for a signal-to-noise ratio of 30dB. (b) Calculate the minimum signal-to-noise ratio required to support information transmission through the telephone channel at the […]
All practical data compression and data transmission schemes All practical data compression and data transmission schemes lie between two limits set by the rate distortion function and the channel capacity theorem. Both of these theorems involve the notion of mutual information, but in different ways. Elaborate on the issues raised by these two statements.
A stationary, Guassian process X (t) with zero and power A stationary, Guassian process X (t) with zero and power spectral density Sx (f) is applied to a linear filter whose impulse response b (t) is shown in Figure. A sample Y is taken if the random process at the filter at time T. (a) […]
A zero-mean stationary process X (t) is applied to a A zero-mean stationary process X (t) is applied to a linear filter whose impulse response is defined by a truncated exponential. Show that the power spectral density of the filter output y (t) is defined by, where SX (f) is the power spectral density of […]
A stationary, Guassian process X (t) with mean μX and varia A stationary, Guassian process X (t) with mean ÂľX and variance s2X is passed through two linear filters with impulse responses b1 (t) and b2 (t) yielding processes y (t) and Z (t), as shown in Figure. (a) Determine the joint probability density function […]