What is the fundamental period of the following discrete time signal?

What is the fundamental period of the following discrete time signal?

Therefore, a discrete-time sinusoid is periodic if its radian frequency Ω is a rational multiple of π. Otherwise, the discrete-time sinusoid is non-periodic. The fundamental period is 12 which corresponds to k = 1 envelope cycles.

What is the time period of the signal?

A signal is a periodic signal if it completes a pattern within a measurable time frame, called a period and repeats that pattern over identical subsequent periods. The completion of a full pattern is called a cycle. A period is defined as the amount of time (expressed in seconds) required to complete one full cycle.

Which signal is called as energy signal?

Explanation: A signal is said to be an energy signal if it has finite energy and zero average power. Explanation: A signal is said to be power signal if it has finite power and infinite energy.

What is energy signal in DSP?

If the signal energy over one period is larger than zero but finite, then the total energy is infinite and the signal power is finite. Therefore, the signal is a power signal. If the signal energy in one period is infinite, then both the power and the total energy are infinite.

Which is correct for impulse signal?

Which of the following is correct regarding to impulse signal? Explanation: When the input x[n] is multiplied with an impulse signal, the result will be impulse signal with magnitude of x[n] at that time.

How do I calculate LTI?

The output of any LTI system can be calculated using the input and the impulse function for that system. Convolution has many important properties: Commutativity: x ( t ) ∗ h ( t ) = h ( t ) ∗ x ( t ) x(t) \ast h(t) = h(t) \ast x(t) x(t)∗h(t)=h(t)∗x(t)

Why do we need convolution?

It is the single most important technique in Digital Signal Processing. Using the strategy of impulse decomposition, systems are described by a signal called the impulse response. Convolution is important because it relates the three signals of interest: the input signal, the output signal, and the impulse response.