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What is coherent integration?
(Also called coherent averaging or time-domain averaging.) The time-domain integration of measurements in a coherent radar over a sequence of pulses or over an observation interval, prior to estimating the signal properties, to improve the signal-to-noise ratio while minimizing signal processing.
What is the advantages of DFT over DTFT?
DTFT gives a higher number of frequency components. DFT gives a lower number of frequency components. DTFT is defined from minus infinity to plus infinity, so naturally, it contains both positive and negative values of frequencies. DFT is defined from 0 to N-1; it can have only positive frequencies.
What is integration gain?
2 Coherent Integration Gain Coherent integration gain is the increase in SNR obtained by coherently integrating. multiple measurements of a signal in additive noise [1]. The integration is considered. “coherent” when it is performed on the complex data, so that both the amplitude and the. phase of the data are utilized …
What do you mean by coherent and non coherent integration?
Coherent systems need carrier phase information at the receiver and they use matched filters to detect and decide what data was sent , while noncoherent systems do not need carrier phase information and use methods like square law to recover the data.
Can you combine results of two DFT’s coherently?
Rick’s answer concerns trying to combine the results of two (or more) DFT’s coherently. I’m interpreting your question differently – does a single DFT provide coherent integration? If you are trying to detect a sinusoid then yes the DFT provides Coherent Integration.
How to understand that DFT’s capability of providing coherent integration?
As far as I know, coherent integration is the summation of discrete samples with phase considered and it is usually used in time domain. How to understand that DFT’s capability of providing coherent integration? Thanks. Rick’s answer concerns trying to combine the results of two (or more) DFT’s coherently.
Which is the coherent gain of the FFT?
This is the coherent gain of the FFT when the sinusoid lies exactly on an FFT bin. You can also view FFT as a bank of Matched Filters for a sinusoidal input and look at the theory of Matched Filters. Note – the analysis can be generalized for any zero mean and independent noise process, since the scaling property still holds for the variance.
Is the DFT a continuous representation of the original sequence?
The DFT is therefore said to be a frequency domain representation of the original input sequence. If the original sequence spans all the non-zero values of a function, its DTFT is continuous (and periodic), and the DFT provides discrete samples of one cycle.