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1 /* ----------------------------------------------------------------------
2  * Project:      CMSIS DSP Library
3  * Title:        arm_hft90d_f32.c
4  * Description:  Floating-point (f32) Hft90d window
5  *
6  * $Date:        14 December 2022
7  * $Revision:    v1.15.0
8  *
9  * Target Processor: Cortex-M and Cortex-A cores
10  * -------------------------------------------------------------------- */
11 /*
12  * Copyright (C) 2010-2022 ARM Limited or its affiliates. All rights reserved.
13  *
14  * SPDX-License-Identifier: Apache-2.0
15  *
16  * Licensed under the Apache License, Version 2.0 (the License); you may
17  * not use this file except in compliance with the License.
18  * You may obtain a copy of the License at
19  *
20  * www.apache.org/licenses/LICENSE-2.0
21  *
22  * Unless required by applicable law or agreed to in writing, software
23  * distributed under the License is distributed on an AS IS BASIS, WITHOUT
24  * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
25  * See the License for the specific language governing permissions and
26  * limitations under the License.
27  */
28 
29 #include "dsp/window_functions.h"
30 #include "dsp/fast_math_functions.h"
31 #include <math.h>
32 
33 /**
34   @ingroup groupWindow
35  */
36 
37 
38 
39 
40 /**
41   @addtogroup WindowFlat
42   @{
43  */
44 
45 /**
46   @defgroup WindowHFT90D Hft90d window function (90.2 dB)
47 
48  */
49 
50 /**
51   @ingroup WindowHFT90D
52  */
53 
54 /**
55   @brief         Hft90d window generating function (f32).
56   @param[out]    pDst       points to the output generated window
57   @param[in]     blockSize  number of samples in the window
58   @return        none
59 
60   @par Parameters of the window
61 
62   | Parameter                             | Value              |
63   | ------------------------------------: | -----------------: |
64   | Peak sidelobe level                   |           90.2 dB  |
65   | Normalized equivalent noise bandwidth |       3.8832 bins  |
66   | 3 dB bandwidth                        |       3.8320 bins  |
67   | Flatness                              |        -0.0039 dB  |
68   | Recommended overlap                   |            76.0 %  |
69 
70 Included in CMSIS-DSP with authorization from professor
71 Gerhard Heinzel.
72 
73 @par Original article:
74 Spectrum and spectral density estimation by the Discrete Fourier
75 transform (DFT), including a comprehensive list of window
76 functions and some new
77 flat-top windows.
78 
79 @par Authors:
80 G. Heinzel, A. Rudiger and R. Schilling,
81 Max-Planck-Institut fur Gravitationsphysik
82 (Albert-Einstein-Institut)
83 Teilinstitut Hannover
84  */
85 
86 
87 
arm_hft90d_f32(float32_t * pDst,uint32_t blockSize)88 void arm_hft90d_f32(
89         float32_t * pDst,
90         uint32_t blockSize)
91 {
92    float32_t k = 2.0f / ((float32_t) blockSize);
93    float32_t w;
94 
95    for(uint32_t i=0;i<blockSize;i++)
96    {
97      w = PI * (i * k);
98      w =
99     1.0f -
100      1.942604f * cosf (w) +
101      1.340318f * cosf (2.f * w) -
102      0.440811f * cosf (3.f * w) + 0.043097f * cosf (4.f * w);
103 
104      pDst[i] = w;
105    }
106 }
107 
108 /**
109   @} end of WindowFlat group
110  */
111 
112