To avoid aliasing, the maximum allowed sampling periods of an image are ∆? = ∆? = 0.25 ??. Calculate the cutoff frequencies of the 2-D image.
To avoid aliasing, the maximum allowed sampling periods of an image are ∆? = ∆? =...
3. (a) Consider the signal xc(t)-sin(2π(40)t). How fast must xe(t) be sanpled to avoid aliasing? Determine the Nyquist rate (the frequency which the sampling rate fs must exceed) for ae(t) (b) Consider processing the signal xe(t) (from part (a)) using the system shown below: Conversion to a sequence Conversion to an impulse train Ideal Reconstruction Filter Hr(ju) p (t) ур y(t) The sampling period for this system is T-1/50 seconds. The DT system H(ei2) is an ideal lowpass filter with...
3 Sampling and aliasing The aim of this part is to demonstrate the effects of aliasing arising from improper sampling. A given analog signal z(t) is sampled at a rate fs = 1/T, the resulting samples (nT) are then reconstructed by an ideal reconstructor into the analog signal rat). Improper choice of f, will result in different signals ra(t) + (t), even though they agree at their sample values, that is, tanT) = x(nT). The procedure is illustrated by the...
Consider the signal y(t)=5+10cos(32πt)+15cos(180πt). Determine 1.The frequencies contained in the signal 2.The minimum sampling rate to avoid aliasing
Q. 2 A continuous time signal x(t) has the Continuous Time Fourier Transform shown in Fig 2. Xc() -80007 0 80001 2 (rad/s) Fig 2 According to the sampling theorem, find the maximum allowable sampling period T for this signal. Also plot the Fourier Transforms of the sampled signal X:(j) and X(elo). Label the resulting signals appropriately (both in frequency and amplitude axis). Assuming that the sampling period is increased 1.2 times, what is the new sampling frequency 2? What...
4. The continuous-time signal e(t) has the Fourier transform X(jw) shown below. Xe(ju) is zero outside the region shown in the figure X.Gj) -2T (300) -2r(100) 0 2n(100) 2T (300) We need to filter re(t) to remove all frequencies higher than 200 Hz. (a) Plot the effective continuous-time filter we need to implement. Label your plot. b) Suppose we decide to implement the filtering in discrete-time using the overall process (sample, filter, reconstruct) shown in the figure in Problem 3....
Problem 1 (10 points). The time history data in many mechanical engineering measurements are of recorded using a digital data acquisition system so they can be transmitted, stored, and anal easily. The signal is sampled discretely over a duration of Tr (seconds) with a constant time interval of & (seconds) between adjacent discrete data samples. So the signal in the frequency domain is also discretized with the maximum and minimum resolvable sampling frequencies fmax and Jmin being given as 1/(28)...
thanks Consider the simple signal processing system shown in below fig, the sampling periods of the A/D and D/A converters T = 5 ms and T' = 1 ms, respectively. Determine the output ya(t) of the system, if the input is x_a(t) = 3 cos 100pi t + 2 sin 250pi t
thanks Consider the simple signal processing system shown in below fig. The sampling periods of the A/D and D/A converts are T = 5 ms and T' = 1 ms, respectively. Determine the output y_a (t) of the system, if the input is x_a (t) = 3 cos 100 pi t + 2 sin 250 pit
Consider a signal with a maximum frequency of 500 MHz. In order to avoid loss of information, the maximum time between samples is (a) 1 ns (b) 2 ns (c) 1µs (d) 0.5 ns
Consider the completion time of a large commercial development. The proportion of the maximum allowed time to complete a task is modeled as a beta random variable with alpha -1 and beta-2. A) What is the probability that the proportion of the maximum time exceeds 0,7? B) Calculate the mean of this random variable?