Hi there, i'm trying to get an asymmetric gaussian type shape that i can
parameterise, i thought perhaps signal filtering might be an efficient way to do
it. Only problem is i don't know enough about filtering!

So, if you take a look at:

http://web.me.com/bilal.khan/diagram.png

Top left is the gaussian shape we're all wonderfully familiar with, and top
right is the kind of curve i'm looking for where a) b) & c) are the things i'm
trying to parameterise.

a) is the height of the peak

b) is the size of the pattern (while keeping the other 2 params constant)

c) is the rate of decay

optional extra d) it's not essential, but it would be nice to be able to move
the position of the peak.

One thing to note, the diagram is one dimensional but i'm actually working in 2,
which is to say the gaussian is 2D.

I've tried doing it with a logarithmic gaussian, with which i can move the
position of the peak, but controlling the decay (c) and height of the peak
independently (a) eludes me. A friend said i might try signal filtering to solve
the problem but im not sure how i'd go about that.

Thanks in advance for any help!

# Asymmetric gaussian type function through signal filtering

Started by ●May 31, 2011

Reply by ●June 3, 20112011-06-03

Maybe you should consider something other than a Gaussian PDF. There are many
others to choose from. Take a look at
http://www.causascientia.org/math_stat/Dists/Compendium.pdf

Hugh

--- On Wed, 5/18/11, s...@sms.ed.ac.uk wrote:

From: s...@sms.ed.ac.uk

Subject: [audiodsp] Asymmetric gaussian type function through signal filtering

To: a...

Date: Wednesday, May 18, 2011, 10:13 AM

Hi there, i'm trying to get an asymmetric gaussian type shape that i can parameterise, i thought perhaps signal filtering might be an efficient way to do it. Only problem is i don't know enough about filtering!

So, if you take a look at:

http://web.me.com/bilal.khan/diagram.png

Top left is the gaussian shape we're all wonderfully familiar with, and top right is the kind of curve i'm looking for where a) b) & c) are the things i'm trying to parameterise.

a) is the height of the peak

b) is the size of the pattern (while keeping the other 2 params constant)

c) is the rate of decay

optional extra d) it's not essential, but it would be nice to be able to move the position of the peak.

One thing to note, the diagram is one dimensional but i'm actually working in 2, which is to say the gaussian is 2D.

I've tried doing it with a logarithmic gaussian, with which i can move the position of the peak, but controlling the decay (c) and height of the peak independently (a) eludes me. A friend said i might try signal filtering to solve the problem but im not sure how i'd go about that.

Thanks in advance for any help!

Hugh

--- On Wed, 5/18/11, s...@sms.ed.ac.uk wrote:

From: s...@sms.ed.ac.uk

Subject: [audiodsp] Asymmetric gaussian type function through signal filtering

To: a...

Date: Wednesday, May 18, 2011, 10:13 AM

Hi there, i'm trying to get an asymmetric gaussian type shape that i can parameterise, i thought perhaps signal filtering might be an efficient way to do it. Only problem is i don't know enough about filtering!

So, if you take a look at:

http://web.me.com/bilal.khan/diagram.png

Top left is the gaussian shape we're all wonderfully familiar with, and top right is the kind of curve i'm looking for where a) b) & c) are the things i'm trying to parameterise.

a) is the height of the peak

b) is the size of the pattern (while keeping the other 2 params constant)

c) is the rate of decay

optional extra d) it's not essential, but it would be nice to be able to move the position of the peak.

One thing to note, the diagram is one dimensional but i'm actually working in 2, which is to say the gaussian is 2D.

I've tried doing it with a logarithmic gaussian, with which i can move the position of the peak, but controlling the decay (c) and height of the peak independently (a) eludes me. A friend said i might try signal filtering to solve the problem but im not sure how i'd go about that.

Thanks in advance for any help!

Reply by ●June 3, 20112011-06-03

You may want to take a look at the chi-squared family of pdfs. They provide

similar features as you've described here. I'm not sure how you could

accomplish this using filtering, unless you're planning on using a

non-linear filter.

-Brant

On Wed, May 18, 2011 at 9:13 AM, wrote:

> Hi there, i'm trying to get an asymmetric gaussian type shape that i can

> parameterise, i thought perhaps signal filtering might be an efficient way

> to do it. Only problem is i don't know enough about filtering!

>

> So, if you take a look at:

> http://web.me.com/bilal.khan/diagram.png

>

> Top left is the gaussian shape we're all wonderfully familiar with, and top

> right is the kind of curve i'm looking for where a) b) & c) are the things

> i'm trying to parameterise.

>

> a) is the height of the peak

> b) is the size of the pattern (while keeping the other 2 params constant)

> c) is the rate of decay

>

> optional extra d) it's not essential, but it would be nice to be able to

> move the position of the peak.

>

> One thing to note, the diagram is one dimensional but i'm actually working

> in 2, which is to say the gaussian is 2D.

>

> I've tried doing it with a logarithmic gaussian, with which i can move the

> position of the peak, but controlling the decay (c) and height of the peak

> independently (a) eludes me. A friend said i might try signal filtering to

> solve the problem but im not sure how i'd go about that.

>

> Thanks in advance for any help!

>

>

--

Brant Jameson

PhD Candidate

UC Santa Cruz Computer Engineering

http://people.ucsc.edu/~pheese

similar features as you've described here. I'm not sure how you could

accomplish this using filtering, unless you're planning on using a

non-linear filter.

-Brant

On Wed, May 18, 2011 at 9:13 AM, wrote:

> Hi there, i'm trying to get an asymmetric gaussian type shape that i can

> parameterise, i thought perhaps signal filtering might be an efficient way

> to do it. Only problem is i don't know enough about filtering!

>

> So, if you take a look at:

> http://web.me.com/bilal.khan/diagram.png

>

> Top left is the gaussian shape we're all wonderfully familiar with, and top

> right is the kind of curve i'm looking for where a) b) & c) are the things

> i'm trying to parameterise.

>

> a) is the height of the peak

> b) is the size of the pattern (while keeping the other 2 params constant)

> c) is the rate of decay

>

> optional extra d) it's not essential, but it would be nice to be able to

> move the position of the peak.

>

> One thing to note, the diagram is one dimensional but i'm actually working

> in 2, which is to say the gaussian is 2D.

>

> I've tried doing it with a logarithmic gaussian, with which i can move the

> position of the peak, but controlling the decay (c) and height of the peak

> independently (a) eludes me. A friend said i might try signal filtering to

> solve the problem but im not sure how i'd go about that.

>

> Thanks in advance for any help!

>

>

--

Brant Jameson

PhD Candidate

UC Santa Cruz Computer Engineering

http://people.ucsc.edu/~pheese