Contact Instructor: allen.broughton@rose-hulman.edu - last update 2 Mar 02
| Script Name | Demo/Template/Utility/Review | Purpose |
| MapleIntrRGL.mws | review for MA221 | Basic Maple Introduction |
| calcrev.mws | review for MA221 | Review of Maple commands from Calculus |
| matrices.mws | demo (review from MA221) | matrix operations |
| matlabeg.m | intro & review | simple intro to Matlab |
| cosinesinesums.mws | demo and template | analysis and synthesis of discrete and continuous signals |
| datasamp.mws | data file | for worksheet #1 |
| cossinmat.m cossinmat2.m cossinmat3.m |
utilities & templates | shows how to calculate the trigonometric wave form matrix |
| Ncossinmat.m
Ncossinmat2.m Ncossinmat3.m Ncossinmat4.m |
utilities & templates |
shows how to calculate the trigonometric wave form matrix
|
| transformpairs.m | demo | shows signal and transform pairs for cosine sine transform |
| zerocount.m zerocountdemo.m |
utility demo |
counts the number of interpolated zeros between samples of a function, zerocount = 2x frequency, demo shows graphs of functions |
| wave1d.m | demo | show real and imaginary parts of exponential
wave forms show continuous and discrete samples |
| wave1dsteps.m wave1dmovie.m |
demos | - show real and imaginary parts of exponential
wave forms one wave at a time, show "frequencies" - show real and imaginary parts of exponential wave forms as a "movie" of varying frequency" |
| wave1dfreqdemo.m wave1dsymfreqdemo.m |
demos |
- graphically show how wave forms depend on the frequencies in the
range 0..N-1 |
| wave2d.m wave2dcoldemo.m |
demos |
- show a 2d exponential wave form as an image and a surface |
| RGBOpic.m | demo | show the colour components of an image. |
| colormapdisplay | demo | show the R,G,B and average curves of a colormap |
| wave2dtrigcc.m | demo | show a factorized 2D trigonometric wave |
| wave2d.m wave2dcoldemo.m |
demos | - show the real and imaginary parts of a 2D
exponential wave - show the real and imaginary parts of a 2D exponential wave, play with colormap |
| wavefft2lband.m wavefft2cband.m |
demos |
- show a "linear" band of waveforms - show a "circular" band of waveforms |
| dotanalysis.m | demo | - show how Fourier coefficients can be calculated by dot products |
| dft1demo1.m dft1demo2.m dft1demo3.m |
demos | - show signal and DFT pairs in Cartesian and
polar form - show signal and shifted DFT pairs in Cartesian and polar form - movie of a DFT computation |
| dft2demo1.m dft2demo2.m dft2demo3.m |
demos | - show image, DFT and log(1+|DFT|) triples - show image, log(1+|DFT|) and shifted log(1+|DFT|) triples - show before and after pictures of an image and DFT when a mask is applied to a DFT |
| acomp.m icomp.m |
demos | - compress an audio signal using global DFT - compress an image using global DFT |
| energy.m | utility | compute the energy of a signal or image |
| jpeg2grayscale.m | utility | convert a .jpg file and convert it to grayscale image in uint8 format |
| symdft1demo.m | demo | show symmetric extension of a function, its DFT and derived (pseudo)-DCT |
| dctdemo.m | demo | properties of small DCT matrices |
| analsynDCT.m | demo | movie of DCT analysis and partial reconstruction of a signal |
| blkdct2.m blkidct2.m |
utilities | construct mxn block DCT's and their inverses |
| circconv.m circconv2.m circconvs.m circconv2s.m |
utilities |
circular convolution scripts |
| conv1demo1.m conv1demo2.m |
demos | - demonstrate before and after pictures of a
filtered signal and the DFT of the mask - movie of filtering |
| convtheorem.m | demo | demonstrate filtering exponential waveforms |
| alohi.m | demo | show and hear averaging and differencing of an audio signal |
| edgedet.m | demo | show edge detection by filtering and non-linear superposition |
| lohi1d.m | demo | show low and high pass filtering on a 1D signal |
| lohi2d.m lohi2d2.m |
demos | show lo-lo, lo-hi, hi-lo, and hi-hi pass filtering
on a natural image show lo-lo, lo-hi, hi-lo, and hi-hi pass filtering on a smooth image defined by a function graph |
| dwt1demo.m | demo | show 1-level and 2-level DWT on a 1D signal |
|
|
utilities |
downsample columns |
| hiloanlc.m hiloanlr.m hiloanl2.m hilosync.m hilosynr.m hilosyn2.m |
utilities | low pass high pass analysis of the columns
of a matrix low pass high pass analysis of the rows of a matrix low pass high pass analysis of the columns and rows of a matrix low pass high pass synthesis of the columns of a matrix low pass high pass synthesis of the rows of a matrix low pass high pass synthesis of the columns and rows of a matrix uses utilities in previous row, plus circular convolution utilities similar to periodic DWT, DWT2, IDWT and IDWT2 |
|
fbanlcol.m |
utilities | s-level periodic filter bank analysis of the
columns of a matrix (s-level periodic DWT) s-level periodic filter bank analysis of the rows of a matrix (s-level periodic DWT) s-level periodic filter bank analysis of a matrix (s-level periodic 2D DWT) s-level periodic filter bank synthesis of the columns of a matrix (s-level periodic DWT) s-level periodic filter bank synthesis of the rows of a matrix (s-level periodic DWT) s-level periodic filter bank synthesis of a matrix (s-level periodic 2D DWT) uses utilities in previous row similar to periodic wavedec and waverec |
| analsynDWT.m | demo | show anlyais and synthesis waveforms for DWT |
| dwt2demo.m dwt2demo2.m |
demos | two slightly different wavelet transform of
an image and various types of details uses wavelet toolbox |
| flatness.m | demo | demonstrate relation between flatness of DFT of filter and killing polynomial signals |
| tap4show1d.m tap4show2d.m |
demo | show the effect of flatness of the high pass
filter on the 1D DWT for the family of 4 tap orthogonal filters show the effect of flatness of the high pass filter on the 2D DWT for the family of 4 tap orthogonal filters |
| findfilters.mws | demo | Show how to find the synthesis filters for the JPEG2000 (5,3) filter. |
| Assignment or Schedule item | Date or Completion Date | Source | Solutions |
| Assignment 1 | Monday, 9 Sep 02 | Class Handouts | |
| Worksheet 1 | Thursday, 12 Sep 02 | worksheet#1, datasamp.mws | |
| Worksheet 1, problem 7 | Friday, 13 Sep 02 | worksheet#1, datasamp.mws | problem7.mws |
|
Matlab session 1 Bring computer |
Friday, 13 Sep 02 | class handout mtlbsess02-1.pdf |
|
| Reading | Monday, 16 Sep 02 | notes Chapters 1 and 2 except the 2D stuff | |
| Matlab Assignment 1 | Tuesday, 17 Sep 02 | mtlbsess02-1.pdf | mtlbsess02-1-sol.txt |
| Assignment 2 | Friday, 20 Sep 02 | Notes, p. 40+, #2.1, 2.4, 2.5, 2.6 | |
| Assignment 3 | Monday, 23 Sep 02 | Notes, p. 41+, #2.10, 2.11, 2.15, 2.18 | |
| Quiz #1 | Tuesday, 24 Sep 02 | Exponential wave forms, Hermitian inner products. | ansquiz1.pdf |
| Matlab session 2 Bring computer | Thursday, 26 Sep 02 | mtlbsess02-2.pdf | |
| Read Notes | Thursday, 26 Sep 02 | Read notes on the 2D topics. | |
| Matlab Assignment 2 | Monday, 30 Sep 02 | mtlbsess02-2.pdf | mtlbsess02-2-sol.txt |
| Read Chapter 3 | Thursday, 3 Oct 02 | ||
| Assignment 4 | Thursday, 10 Oct 02 | 3.3, 3.4, 3.10 | ansassn02-04.pdf |
| Assignment 5 | Tuesday, 15 Oct 02 | assn02-05.pdf | |
| Assignment 6 | Tuesday, 22 Oct 02 | 4.3, 4.4, 4.6, What is the frequency of C_N,k | |
| Midterm Project | Friday, 25 Oct 02 | midproj02.pdf | |
| Worksheet 4 | Thursday, 31 Oct 02 | worksheet#4 | |
| Worksheet 5 | Friday, 1 Nov 02 | worksheet#5 (look at Problem 5.6 for constructing convolution matrices) | answs04-02.pdf |
| Worksheet 6 | Thursday, 7 Nov 02 | worksheet#6 | worksheet6.m |
| Bring Computer | Friday, 8 Nov 02 | worksheet#7 | worksheet7.m |
| Bring Computer | Monday, 11 Nov 02 | worksheet#8 | worksheet8.m |
| Bring Computer | Tuesday, 12 Nov 02 | ||
| Final Exam | Monday, 18 Nov 02 | takehomefinal.pdf |