# 4.5 Java1486-fun with java, understanding the fast fourier transform

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Baldwin explains the underlying signal processing concepts that make the Fast Fourier Transform (FFT) algorithm possible.

Revised: Mon Oct 19 13:36:25 CDT 2015

This page is included in the following book: Digital Signal Processing - DSP

## Preface

Programming in Java doesn't have to be dull and boring. In fact, it's possible to have a lot of fun while programming in Java. This module wastaken from a series that concentrates on having fun while programming in Java.

## Viewing tip

I recommend that you open another copy of this module in a separate browser window and use the following links to easily find and view the Figuresand Listings while you are reading about them.

## Figures

• Figure 1. Transform of pulse with negative slope.
• Figure 2. Transform of pulse with positive slope.
• Figure 3. Transform of the sum of two pulses.
• Figure 4. Transform of an impulse with no shift.
• Figure 5. Transform of an impulse with a shift equal to one sample interval and a negative value.
• Figure 6. Transform of an impulse with a shift equal to two sample intervals and a positive value.
• Figure 7. Transform of an impulse with a shift equal to four sample intervals and a positive value.
• Figure 8. Transform of a complex impulse with a shift equal to two sample intervals.
• Figure 9. Case A. Transform of a real sample with two non-zero values.
• Figure 10. The numeric output for Case A.
• Figure 11. Case B in graphical form.
• Figure 12. Case B output in numeric form.
• Figure 13. The graphic form of Case C.
• Figure 14. Case C output in numeric form.

## General discussion

The purpose of this module is to help you to understand how the Fast Fourier Transform (FFT) algorithm works. In order to understand theFFT, you must first understand the Discrete Fourier Transform (DFT). I explained how the DFT works in an earlier module titled Fun with Java, How and Why Spectral Analysis Works .

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nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
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learn
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da
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Bhagvanji
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Giriraj
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Application of nanotechnology in medicine
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Kamaluddeen
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Damian
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I think
Professor
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Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
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The nanotechnology is as new science, to scale nanometric
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nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
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