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November 5th, 2006, 01:24 PM
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| |  advice needed on Calculus and Digital Signal Processing
hi evreyone,
guys i'm trying to learn Digital Signal Processing as a self study thing since 5 months till now so i brought some books on DSP and i have found many authors are talking about some topics in Calculus so i have learned some basic Calculus Topics like Limits, Derivatives, Integrals (Definite Integrals and Indefinite Integerals) but there are some topis that i did not handle yet which are:
1- Transcendential Functions
2- Infinite Series.
3- Parametric Equations And Polar Coordinates.
4- Vectors And Surfaces.
5- Vector-Valued Functions.
6- Partial Differentiation.
7- Multiple Integrals.
8- Vector Calculus.
9- Differential Equations.
so i wanna know what should i know in Mathmatics to have a basic understanding of Digital Signal Processing as i'm really involved in many things beside DSP and Calculus.
i'm a java programmer, i have a background in statistics, electronics and basic Math topics like Summation ....etc, what do i need in Calculus to understand DSP?
Thanks
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Last edited by mHadad; November 5th, 2006 at 05:59 PM.
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November 5th, 2006, 02:13 PM
|  | Grand Panjandrum | | Join Date: Nov 2005 Location: South of England
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Quote:
Originally Posted by mHadad  hi evreyone,
guys i'm trying to learn Digital Signal Processing as a self study thing since 5 months till now so i brought some books on DSP and i have found many authors are talking about some topics in Calculus so i have learned some basic Calculus Topics like Limits, Derivatives, Integrals (Definite Integrals and Indefinite Integrals) but there are some topis that i did not handle yet which are:
1- Transcendential Functions
2- Infinite Series.
3- Parametric Equations And Polar Coordinates.
4- Vectors And Surfaces.
5- Vector-Valued Functions.
6- Partial Differentiation.
7- Multiple Integrals.
8- Vector Calculus.
9- Differential Equations.
so i wanna know what should i know in Mathmatics to have a basic understanding of Digital Signal Processing as i'm really involved in many things beside DSP and Calculus.
i'm a java programmer, i have a background in statistics, electronics and basic Math topics like Summation ....etc, so do i need to learn Matlab first to understand DSP first then to model my DSP logic then learn C or Assembly to implement this logic in the real world and learn about Mathmatics as i go on or should i start learning DSP ....etc after i have the ability to solve real world problems using Mathmatics (specially Calculus)?
i wanna establish a good foundation about Digital Audio, TTS engines and ASR?
Thanks | The key concepts that you are going to need are Fourier series and transforms. So you will need a good grounding in calculus and complex numbers and calculus. Items 6 through 8 will not be so important and 9 will be nice to have but can be picked up later.
You will sooner or later have to deal with z-transforms but you will learnabout them as part of signal processing.
RonL
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November 5th, 2006, 03:34 PM
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Quote:
Originally Posted by CaptainBlack The key concepts that you are going to need are Fourier series and transforms. So you will need a good grounding in calculus and complex numbers and calculus. Items 6 through 8 will not be so important and 9 will be nice to have but can be picked up later.
You will sooner or later have to deal with z-transforms but you will learnabout them as part of signal processing.
RonL | i have seen a book that talks only about Fourier Transforms and Series, although as for the z-transforms and Fourier Transforms i have seen in DSP books that they handle these topics as standalone topics, do u recommend getting the book that i have mentioned before?
as for Complex Numbers i do not know anything about what a complex number is beside it is a number that contains an Imaginary part but i'm not sure what it is exactly as the term Complex Numbers differs from what i have learned in school, so do u recommend getting a book that deals with numbers too?
what do u think is a good grounding in Calculus is?
do i need to get detailed books on trigonometric functions too?
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November 5th, 2006, 03:45 PM
|  | Global Moderator | | Join Date: Nov 2005 Location: New York City
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Quote:
Originally Posted by mHadad as for Complex Numbers i do not know anything about what a complex number is beside it is a number that contains an Imaginary part but i'm not sure what it is exactly as the term Complex Numbers differs from what i have learned in school, so do u recommend getting a book | When he said Complex Numbers he meant a treatment of Complex Analysis. Calculus uses real numbers (without imagineries) in Complex Analysis you do Calculus with complex numbers also. Careful what you buy, all you need to know are the rule and laws for Complex variables. At no time do you need to be familar with the complex (pun:  ) theory. So check if it is an applied math book for complex variable or if it is a a mathemations book. Avoid the mathemations book. |
November 5th, 2006, 04:12 PM
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thanks Captain and The Perfect Hacker for the replies,
Captain do u think the following book in this link Complex Analysis is what i should be after?
as for Transforms does DSP books handle topics related to transforms and series in an understandable way?
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November 5th, 2006, 06:01 PM
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Quote:
Originally Posted by mHadad thanks Captain and The Perfect Hacker for the replies,
Captain do u think the following book in this link Complex Analysis is what i should be after?
as for Transforms does DSP books handle topics related to transforms and series in an understandable way? | pdf's are not as good as books. But that is the type of books that you need.
(If you are not familar with Calculus you need to learn that first, you are not going to understand this otherwise). |
November 5th, 2006, 10:13 PM
| | Grand Panjandrum | | Join Date: Nov 2005 Location: South of England
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Quote:
Originally Posted by mHadad thanks Captain and The Perfect Hacker for the replies,
Captain do u think the following book in this link Complex Analysis is what i should be after? | As ImPerfectHacker says this covers the material needed, but you will
have an understanding of calculus first. Quote: |
as for Transforms does DSP books handle topics related to transforms and series in an understandable way?
| I can't say, they do cover these topics, but as I was already
very familiar with them before seeing a (D)SP book I can't comment
on their suitability as a first sight of Fourier analysis.
RonL
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