Contents
How to calculate a non-periodic time signal?
For non-periodic signal: we make T 0-> ∞ For periodic signal: ck= 1 T 0 x(t)e−jkω 0 tdt −T 0
What kind of signal is not a periodic waveform?
non-periodic signals non-periodic waveform is one that does not satisfy the criteria for a periodic waveform. Non-periodic signals are referred to as energy signals because their total energy is finite. 3.2 The electromagnetic spectrum
What is the period of the sinuoid signal?
The period of the sinuoid is T = 1 f = 2ˇ ! with the units of seconds. The phase or phase angle of the signal is \, given in radians.
What are the functions of icomplex exponential signals?
IComplex exponential signals IUnit step and unit ramp IImpulse functions Systems IMemory IInvertibility ICausality IStability ITime invariance ILinearity Cu\ (Lecture 2) ELE 301: Signals and Systems Fall 2011-12 2 / 70 Sinusoidal Signals
What is minimum sampling frequency for periodic pulse train?
In order to produce a digital signal, an analogue signal must first be sampled by a periodic pulse train to convert it from continuous to discrete time. If a continuous signal has a bandwidth W, then the minimum sampling frequency, fs, that can be used is f s = 2W.
How is an even periodic impulse train expressed?
A periodic impulse train consists of impulses (delta functions) uniformly spaced T0 seconds apart. An application of a periodic impulse train is in the ideal sampling process. Using (3.28), an even periodic impulse train, as shown in Figure 3.21b, can be analytically expressed as follows:
How is the duty cycle of a periodic pulse train defined?
A periodic pulse train with period T0 consists of rectangular pulses of duration T. The duty cycle of a periodic pulse train is defined by T / T0. An application of the periodic pulse train is in the practical sampling process. An even periodic pulse train, as shown in Figure 3.21a, can be analytically expressed as follows:
How are non sinusoidal signals represented as sums of sinusoids?
Non-sinusoidal Signals as Sums of Sinusoids If we allow infinitely many sinusoids in the sum, then theresult is a square wave signal. The example demonstrates that general, non-sinusoidalsignals can be represented as a sum of sinusoids. The sinusods in the summation depend on the generalsignal to be represented.
Can a Fourier analysis be done on a periodic signal?
Most signals aren’t periodic, and even a periodic one might have an unknown period. So we should be prepared to do Fourier analysis on signals without the comforting assumption that the signal to analyze repeats at a fixed period .
How are partials separated in a periodic signal?
For a periodic signal, for example, the partials are separated by the fundamental frequency. For the analysis to fully resolve the partials, the analysis period must be at least four periods of the signal.