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Related Concept Videos

Choosing Between z and t Distribution01:25

Choosing Between z and t Distribution

The z and the Student t distribution estimate the population mean using the sample mean and standard deviation. However, to decide which distribution to use for a calculation, one needs to determine the sample size, the nature of the distribution, and whether the population standard deviation is known. If the population standard deviation is known and the population is normally distributed, or if the sample size is greater than 30, the z distribution is preferred. The Student t distribution is...
Wave Parameters01:10

Wave Parameters

The simplest mechanical waves are associated with simple harmonic motion and repeat themselves for several cycles. These simple harmonic waves can be modeled using a combination of sine and cosine functions. Consider a simplified surface water wave that moves across the water's surface. Unlike complex ocean waves, in surface water waves, water moves vertically, oscillating up and down, whereas the disturbance of the wave moves horizontally through the medium. If a seagull is floating on the...
Downsampling01:20

Downsampling

When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
Relation of DFT to z-Transform01:20

Relation of DFT to z-Transform

The Discrete Fourier Transform (DFT) is a crucial tool for analyzing the frequency content of discrete-time signals. It converts a sequence of N samples from the time domain into its corresponding sequence in the frequency domain, where each sample represents a specific frequency component.
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Upsampling01:22

Upsampling

Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
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Properties of the z-Transform I

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Related Experiment Video

Updated: Jul 7, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Adaptive wavelet packet basis selection for zerotree image coding.

Nasir M Rajpoot1, Roland G Wilson, François G Meyer

  • 1Department of Computer Science, University ofWarwick, Coventry CV4 7AL, UK. nasir@dcs.warwick.ac.uk

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|February 5, 2008
PubMed
Summary

This study introduces a novel adaptive wavelet zerotree image coder. It achieves state-of-the-art performance with low computational complexity and progressive image encoding capabilities.

Related Experiment Videos

Last Updated: Jul 7, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Area of Science:

  • Computer Science
  • Signal Processing
  • Image Processing

Background:

  • Adaptive wavelet transforms and zerotree quantization are successful image coding techniques.
  • Existing methods may lack flexibility in wavelet packet geometry or computational efficiency.

Purpose of the Study:

  • To present a general zerotree structure applicable to arbitrary wavelet packet geometries.
  • To develop an efficient adaptive wavelet zerotree image coder with competitive performance.

Main Methods:

  • A general zerotree structure for adaptive wavelet packet image coding was developed.
  • A fast basis selection algorithm utilizing Markov chain cost estimation was implemented.
  • The proposed coder was evaluated for performance and complexity.

Main Results:

  • The adaptive wavelet zerotree image coder demonstrates low computational complexity.
  • Performance is comparable to current state-of-the-art image coders.
  • The coder supports progressive image encoding.

Conclusions:

  • The proposed general zerotree structure is effective for adaptive wavelet packet image coding.
  • The developed algorithm offers an efficient and high-performing solution for image compression.
  • Progressive encoding capability enhances the coder's utility.