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What is sampling of a continuous signal?
In signal processing, sampling is the reduction of a continuous-time signal to a discrete-time signal. A common example is the conversion of a sound wave (a continuous signal) to a sequence of samples (a discrete-time signal). A sample is a value or set of values at a point in time and/or space.
How do you decide sampling rate?
The choice of sampling rate is determined from the highest frequency present in significant amount in the signal. For audio signals we may have frequencies to above 50kHz, but only want to respond to 20kHz and below. In this case filtering would be needed to remove these high frequencies before sampling takes place.
How is the sampling rate of a signal determined?
The sampling rate is usually determined from the sampling theorem, which states that a baseband (information) signal of finite energy with no frequency components higher than W Hz is completely specified by the amplitudes of its samples taken at a rate of 2 W /sec.
Is the unit step zero for continuous time?
The unit step, both for continuous and discrete time, is zero for negative time and unity for positive time. In discrete time the unit step is a well-defined sequence, whereas in continuous time there is the mathematical complication of a discontinuity at the origin.
How is the frequency of a continuous time signal determined?
If a continuous time signal contains no frequency components higher than W hz, then it can be completely determined by uniform samples taken at a rate fs samples per second where A signal with no frequency component above a certain maximum frequency is known as a bandlimited signal.
Is the unit step function you ( T ) de \\ fned?
The unit step function u(t) is de\\fned as u(t) = ˆ 1; t \ 0; t <0 Also known as the Heaviside step function. Alternate de\\fnitions of value exactly at zero, such as 1/2.