Howtosignalprocessing
- What is a discrete-time sinusoid?
- What is real sinusoidal sequence?
- What are the properties of discrete-time sinusoidal signal?
- How do you calculate sinusoidal signal?
- What are the key differences between continuous-time and discrete-time sinusoids?
What is a discrete-time sinusoid?
A sinusoidal signal which is defined only at discrete instants of time is called discrete-time sinusoidal signal. The discrete-time sinusoidal signal is given as follows − 𝑥(𝑛) = 𝐴 sin(𝜔𝑛 + 𝜑) = 𝐴 sin(2𝜋𝑓𝑛 + 𝜑)
What is real sinusoidal sequence?
A sinusoidal sequence is the fundamental periodic signal having just one single frequency.
What are the properties of discrete-time sinusoidal signal?
Property 1. The discrete time sinusoids whose frequency are separated by an integer multiple of 2π are identical. Property 2. The frequency of oscillation of discrete time sinusoids sequence increases as ω increases from 0 to π.
How do you calculate sinusoidal signal?
We imagine a sinusoidal signal y=Y sin ωt, i.e. amplitude Y and angular frequency ω, as being produced by a radial line of length Y rotating with a constant angular velocity ω (Figure 11.2), taking the vertical projection y of the line at any instant of time to represent the value of the sinusoidal signal.
What are the key differences between continuous-time and discrete-time sinusoids?
ii) One cycle corresponds to the angle of a discrete- time sinusoid changing by 2πm radians where m is integer. b) Frequency of a continuous-time sinusoid is measured in cy- cles/second (Hertz - Hz), or radians/second. c) Frequency of a discrete-time sinusoid is measured in radi- ans/sample or radians.
