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What is the need for convolution in digital signal processing?
If we need to add two signals in time domain, we perform convolution. A better way, is to convert the two signals from time domain to frequency domain. This can be achieved by FAST FOURIER TRANFORM. Once both the signals have been converted to frequency domain, they can simply be multiplied. Since Convolution in time domain is similar to multiplying in Frequency domain. Once both the signals have been multiplied, they can be converted back to time domain by Inverse Fourier Transform method. Thus achieving accurate results.
What is the need of conversion from time to frequency domain?
Design of filtering and control systems is usually easier in the frequency domain than in the time domain.
Why fourier series is used for frequency domain?
The fourier series relates the waveform of a periodic signal, in the time-domain, to its component sine/cosine frequency components in the frequency-domain. You can represent any periodic waverform as the infinite sum of sine waves. For instance, a square wave is the infinite sum of k * sin(k theta) / k, for all odd k, 1 to infinity. Using a Fourier Transformation, you take take a signal, convert it from time-domain to frequency-domain, apply some filtering or shifting, and convert it back to time-domain. Sometimes, this is easier than building an analog filter, even given that you need a digital signal processor to do it.
What is the need for fourier transform in analog signal processing?
The fourier transform is used in analog signal processing in order to convert from time domain to frequency domain and back. By doing this, it is easier to implement filters, shifters, compression, etc.
Why do you need Forrier transform in DSP?
The Fourier transform is essential in digital signal processing (DSP) because it converts time-domain signals into their frequency-domain representations. This transformation allows engineers to analyze the frequency content of signals, enabling tasks such as filtering, compression, and modulation. By understanding the frequency components, DSP systems can manipulate signals more effectively, improving performance in applications like audio processing, communications, and image analysis. Ultimately, the Fourier transform provides critical insights that facilitate the design and optimization of DSP systems.
Why you need to measure extremely small interval of times?
We need small values of delta t as the smaller is the time interval better resolution of signal is possible. Also, the highest frequency in frequency domain is inversely proportional to delta t. So higher delta t in time domain results in higher the maximum frequency in frequency domain.
When low frequency signals added to high frequency signal then the envelope signal will follow which signal?
the low frequency signal which is nothing but the message signalNeither. The envelope will be that of the difference beat frequency. To get the envelope to follow the low frequency input signal you need to mix (multiply) the two signals, not add them.
What has to happen to sound wave before they can be transmitted by radiowaves?
Sound waves need to be converted into electrical signals before they can be transmitted by radio waves. This is typically done by using a microphone to capture the sound waves and convert them into electrical signals that can then be modulated onto a radio frequency carrier wave for transmission.
What quantity is hertz used to measure?
One would measure hertz by using an analog ammeter. Hertz can be measure in kilohertz. Hertz is the unit used to measure frequency. Any instrument that measures frequency can be used to measure hertz. 1 hertz is 1 cycle per second. By radio frequency.
Why do you need small signal amplifier?
Small signal amplifier is needed because it is used for amplifying input signals having low frequency or amplitude.
How do you change the out put frequency between two speakers that is to have one speaker at 300herzt and the other at 306 herzt?
Frequency correlates to pitch, so the way to have a speaker output a certain frequency is to send a signal of that frequency to the speaker. If you want two speakers to output different frequencies, you really need two signals.
Does a mixer convert analog signals to digital signals?
No, it just combines the selected inputs to form a single output.There are now both analog and digital mixers, but on a mixer of a given type whatever signal type goes in comes out.You need a converter to convert signal types.
