What is a zero phase wavelet?

A zero phase wavelet is symmetrical with a maximum at time zero. Zero phase wavelets have energy before time zero, which makes them noncausal, and therefore they are not physically realizable.

What is convolution in seismic data processing?

Convolution is the process by which a wavelet combines with a series of reflection events to produce the seismogram that is recorded in a seismic survey.

How are wavelets used?

The most common use of wavelets is in signal processing applications. For example: Compression applications. If we can create a suitable representation of a signal, we can discard the least significant” pieces of that representation and thus keep the original signal largely intact.

What is wavelet transform in DSP?

The wavelet transform translates the time-amplitude representation of a signal to a time-frequency representation that is encapsulated as a set of wavelet coefficients. These wavelet coefficients can be manipulated in a frequency-dependent manner to achieve various digital signal processing effects.

How do you calculate the Ricker wavelet frequency?

THE RICKER WAVELET AND THE FREQUENCY BAND. R(ω)=2ω2√πω3pexp(−ω2ω2p). This frequency spectrum is real and non-negative in value, |R(ω)| = R(ω). Thus, it is just the module of the Fourier transform of the even Ricker wavelet.

What is seismic wavelet?

The seismic wavelet is the link between seismic data (traces), interpretations and the geology (reflection coefficients). It must be accurately known (estimated or measured) and quantified in all stages of the seismic cycle (from modelling, acquisition, processing, interpretation, inversion and reservoir work).

What is convolution in geophysics?

1. n. [Geophysics] A mathematical operation on two functions that is the most general representation of the process of linear (invariant) filtering. Convolution can be applied to any two functions of time or space (or other variables) to yield a third function, the output of the convolution.

What is stacking in seismic data processing?

1. n. [Geophysics] A processed seismic record that contains traces that have been added together from different records to reduce noise and improve overall data quality. The number of traces that have been added together during stacking is called the fold.

What is wavelets in image processing?

A wavelet is a mathematical function useful in digital signal processing and image compression . The use of wavelets for these purposes is a recent development, although the theory is not new. The principles are similar to those of Fourier analysis, which was first developed in the early part of the 19th century.

What is wavelets in signal processing?

Wavelets are waveforms which are time limited or exists only for a given time period only. Wavelets are useful for examining aperiodic, noisy signal in both time and frequency domain simultaneously. The word “wavelet” means a “small wave”.