What is the fundamental period of discrete signal?

Concept: A discrete-time signal is periodic if there is a non-zero integer N ∈ discrete-time such that for all n ∈ discrete-time, x(n + N) = x(n). The smallest value of N is known as the fundamental period. The signal repeats after every N value.

What is the fundamental period of the signal?

Periodic Functions x(t) = x(t + nT). The minimum value of T that satisfies x(t) = x(t + T) is called the fundamental period of the signal and we denote it as T0. Examples of periodic signals are infinite sine and cosine waves. Examples: Given x1(t) = cos(3t), and x2(t) = sin(5t).

How do you know if a discrete signal is periodic?

A discrete-time signal is periodic if there is a non-zero integer p ∈ DiscreteTime such that for all n ∈ DiscreteTime, x(n + p) = x(n). x(n) = cos(2π f n).

What is the fundamental period of the signal E JWT?

2pi/w
Explanation: Fundamental period = 2pi/w, hence fundamental frequency will be w. 4. Total energy possessed by a signal exp(jwt) is?

How do you find the period of a discrete function?

H((f(x+N)g(x+N))=H(f(x)g(x)), if such N exists. Periods of the two functions are p=4 and q=8, and their common multiple is N=8, so that is the fundamental period of your discrete-time signal x[n].

What is the difference between period and fundamental period?

A function f:R→R is periodic if there exists a T≠0 for which f(x+T)=f(x) for all x∈R. Such a T is called a period. If there is a minimum period, T0, then this is called the fundamental period. (Here we mean minimum in absolute value, |T0|<|T| for all periods T of f.)

How do you know if a signal is discrete or continuous?

A signal is considered to be a continuous time signal if it is defined over a continuum of the independent variable. A signal is considered to be discrete time if the independent variable only has discrete values.

What determines fundamental frequency?

The fundamental frequency (n = 1) is ν = v/2l. The higher frequencies, called harmonics or overtones, are multiples of the fundamental. It is customary to refer to the fundamental as the first harmonic; n = 2 gives the second harmonic or first overtone, and so on.

What does e JWT mean?

e^( jwt) is definied from -infinity to +infinity, so any signals defined from. – infinity to +infinity those signals are called eternal signals to find Fourier transform , we truncate the signal from -T/2 to T/2 and find the Fourier transform, later we substitute Limit T->infinity , we can obtain the final result.

Which one of the following is not a characteristic of a deterministic signal?

3. Which one of the following is not a characteristic of a deterministic signal? Explanation: Deterministic signal is one which exhibits no uncertainty and its instantaneous value can be accurately predicted from its mathematical equation. Therefore, a deterministic signal doesn’t exhibit uncertainty.

Which function does not have any fundamental period?

The constant function f ( x ) = c , where c is independent of x, is periodic with any period, but lacks a fundamental period.

What is the fundamental period of a discrete signal?

Periodic discrete signals their behaviour repeats after N samples, the smallest possible N is denoted as N1 and is called fundamental period. Harmonic discrete signals (harmonic sequences) x[n] = C1 cos(ω1n+φ1) (1) • C1 is a positive constant – magnitude. • ω1 is a spositive constant – normalized angular frequency.

What is the difference between periodic and nonperiodic signals?

Periodic signals and aperiodic signals A signal is periodic with periodN(N> 0) if and only if The smallest value ofNfor which the above condition holds is called the (fundamental)period A signal not satisfying the periodicity condition is callednonperiodicoraperiodic xnN xn n  for all 7 2011/3/2 Digital Signal Processing 13

How is an arbitrary sequence represented in the time domain?

Basic Sequences An arbitrary sequence can be represented in the time- domain as a weighted sum of some basic sequence and its delayed (advanced) versions k pn pk n k 6 2011/3/2 Digital Signal Processing 11 The Norm of a Discrete-Time Signal Size of a Signal- given by the norm of the signal Lp-norm： where p is a positive integer

What is the Fourier transform with discrete time and discrete time?

For a discrete signal we introduce notation X(ejω) : X˜(ejω) = X∞ n=−∞. x[n]e−jωn. This transform is called Fourier transform with discrete time, or Discrete-time Fourier transform and short-cut DTFT. Tilde above X˜ means that DTFT is periodic function.