Use of Apodization to Improve Quality of Radiometric Measurements from Interferometric Sounders (2/11/02)
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1 Use of Apodization to Improve Quality of Radiometric Measurements from Interferometric Sounders (2/11/02) Acknowledgements: This work is the result of a student project performed at Rose-Hulman Institute that was sponsored by ITT Aerospace/Communications Div. Sponsor: J. Predina (ITT Industries) Student Members: K. Gibbs, B. Dames, Z. Kissel, B. Brosmer, T. Clancy, K. Galamback, R. Smith & C. Zawistoski ITT INDUSTRIES - ROSE-HULMAN INSTITUTE
2 Systematic Study Allowed Evaluation of ILS Uncertainty for Each CrIS Band Determine if Sensitivity to ILS Uncertainty Could be Reduced by Use of Hamming or Blackman-Harris Apodization What Spectral Instrument Line Shape (ILS) Uncertainty Can Be Tolerated for Advanced Sounding Missions? CrIS Phase 1 Studies Concluded that CrIS EDR performance begins to degrade if ILS uncertainty grows larger than 1.5% Based upon measures of rms temperature and moisture retrieval errors Impact upon radiometric bias error and NEdN not evaluated More Recent Studies Have Refined Our Knowledge of this Effect to include: Impact upon radiometric bias error Impact upon NEdN Specific impacts in each CrIS band (LW, MW & SW) Scene type effects (land/ocean, cloudy/cloud free) Sensitivity of various apodization techniques to ILS uncertainty Unapodized Hamming Blackman-Harris Section 1-2
3 Apodizations Compared During this Study? Unapodized - Standard Format - Highest Spectral Crosstalk - Highest Uncertainty With ILS Variation Magnitude Unapodized Window CrIS LW Dynamic Range 2000:1 Magnitude Hamming Window CrIS LW Dynamic Range 2000:1 1 Hamming - Lower Spectral Crosstalk - Some Adjacent Channel Correlation Blackman - Lowest Spectral Crosstalk - High Adjacent Channel Correlation - Fastest EDR Forward Model Execution Wavenumber (cm -1 ) Magnitude Blackmann Window Wavenumber (cm -1 ) CrIS LW Dynamic Range 2000:1 Wavenumber (cm -1 ) Example Illustrates Spectral Response for 700 cm -1 Channel Center Section 1-3
4 Concerns Relate to Sensor Spectral Response Uncertainty (Variation of the ILS Shape, FWHM) Overlay Plot of Two Unapodized Spectral Responses Differing by only 1% Spectral Resolution Magnitude Unapodized Window 1% Uncertainty of Spectral Resolution Sidelobe Suppression Below CrIS Noise Floor Is Not Achieved Maximum Sidelobe Level Replaces Null Response Only 30 cm -1 from Channel Center Wavenumber (cm -1 ) Error Magnitude Contributed by Each Sidelobe Bin Is Large Relative to Noise Floor Section 1-4
5 Interferometer Optical Band Pass Filter Edges Interact With an Unapodized Spectral Response cm cm -1 CrIS Sensor Long Wave Band Optical Response Transmission Filter Edges That Interact Strongly with Spectral Sidelobes Wavenumber (cm -1 ) Section 1-5
6 Resultant Error Due to 2% ILS Uncertainty With Ideal Optical Filter 650 cm -1 to 1095 cm -1 Requirement (all sensor error sources) Temperature Bias Error (197 scene ensemble) Noise Equivalent Radiance NEdN (197 scene ensemble) Section 1-6
7 Uncertainty in Any One Source Leads to Significant Error Elimination of Error in the Unapodized Case Requires More Precise Knowledge Over a Broader Range of Wavenumbers Can the Use Of Apodization Reduce Sensitivity to ILS and Optical BPF Uncertainties? Sources of Error Mismatch of sensor ILS with ILS used in forward radiometric transmittance model Uncertainty in the optical filter cutoff wavenumber Unmodeled scene effects (solar reflection, etc) Potential Benefits of Apodization Significantly less precision of hardware components to achieve a given level of performance Better independence of radiance measurements at one wavenumber to any uncertainties from any radiance source at other wavenumbers Trace gas model errors Imprecisely modeled solar reflection from surface or cloud Trade Study Evaluations Impact on radiometric bias error Impact on NEdN Section 1-7
8 Methodology of Synthesizing Test Scenes Test Scenes Were Previously Developed During the CrIS Phase 1 Effort Test Scenes Were Previously Developed During the CrIS Phase 1 Effort 481 Data Files Depicting Upwelling Infrared Signatures of Earth Scenes Used During the Analysis Generation of Test Scenes 481 temperature/moisture profiles randomly selected from NOAA88 data set 197 cloud free profiles over land 284 cloud free profiles over ocean NOAA88 provided surface emissivity used for each profile Converted Temperature/moisture Profiles Into Radiance Used Atmospheric Environmental Research Inc. supplied OSS forward model code developed during CrIS Phase 1 Spectral resolution of earth scene radiance model LW = 0.04 cm -1 MW = 0.08 cm -1 SW = 0.16 cm -1 Added Cloud Content (additional set of 481 data files) Optically thick clouds added Cloud fraction and cloud height data bases supplied by P. Wylie (U. of Wisconsin) and T. VonderHaar (STC Colorado State) Section 1-8
9 Methodology Ideal ILS Unapodized Hamming Blackman-Harris Earth Scene Radiance X X + Σ - Integrate over wavenumber Radiance Error K = 284 Ocean/cloud free K = 197 Land/cloud free K = 284 Ocean/cloudy K = 197 Ocean/cloudy Distorted ILS 2%, 1% & 0.25% Bin Width Distortion Evaluated Repeat Calculation of Error for Each Earth Scene Repeat Calculation of Error for Each Channel Center in all 3 CrIS Bands (1305 Channels) Compute Statistics Mean (bias) STD (NEdN) % Error bias Section 1-9
10 Typical Radiance Error Plots Generated (Unapodized ILS with 1% Excessive Bin Width) Radiometric Bias Error NEdN % Radiometric Bias Error Relative to 287 K BB Section 1-10
11 Bias Errors Drop as Much as 8 Times Using Hamming Window Comparison of Apodization Effect (Long Wave Band, Land Surface, Cloud Free) Unapodized Case with 1% ILS Uncertainty Blackman-Harris Yields Even More Improvement Section 1-11
12 Bias Errors Drop as Much as 4 Times Using Hamming Window Comparison of Apodization Effect (Mid Wave Band, Land Surface, Cloud Free) Unapodized Case with 1% ILS Uncertainty Blackman-Harris Yields No Improvement Over Hamming Section 1-12
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