Contents
What is meant by band-limited signal?
Band-limited signals: A Band-limited signal is one whose Fourier Transform is non-zero on only a finite interval of the frequency axis. Specifically, there exists a positive number B such that X(f) is non-zero only in . B is also called the Bandwidth of the signal.
Why can the signal not be time limited and band limited simultaneously?
In this lecture we will try to prove a theorem based on the Uncertainty principle of Fourier transform which states that a non-zero function cannot be both time limited and band limited at the same instance. Basically this means that a non-zero function cannot be compactly supported in both the domains simultaneously.
Which of the following signal is time limited?
Any signal that is nonzero for certain amount of timing interval is a time limited signal. Mathematical expression for it would be x(t)=0 for all |t|>0. All practical signals are generally time limited.
How do you know if a signal is limited?
A signal is said to be band-limited if the amplitude of its spectrum goes to zero for all frequencies beyond some threshold called the cutoff frequency.
What is band limited function Mcq?
MCQ: The band limited function can be recovered from its samples if the acquired samples are at rate twice the highest frequency, this theorem is called. sampling theorem.
What is the difference between time limited and band limited signal?
In signal processing, there is a time-frequency duality. Band-limited signals have infinite time duration and time-limited signals have infinite bandwidth.
What is the difference between time limited and band-limited signal?
What should be the ideal sampling rate of a band-limited continuous time signal?
2 W samples/sec
A band-limited signal of finite energy with no frequency components higher than W Hz may be completely recovered from a knowledge of its samples taken at the rate of 2 W samples/sec. This is also known as the uniform sampling theorem.
What is the relationship between wavelength and frequency Mcq?
The relation between velocity, frequency, and wavelength is given by – v = f × λ
How can one reduce the aliasing effect on an image?
Explanation: Aliasing corrupts the sampled image by introducing additional frequency components to the sampled function. So, the principal approach for reducing the aliasing effects on an image is to reduce its high-frequency components by blurring the image prior to sampling.