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1 /* ----------------------------------------------------------------------
2  * Project:      CMSIS DSP Library
3  * Title:        arm_hft116d_f64.c
4  * Description:  Floating-point (f64) Hft116d 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 /**
47   @ingroup WindowHFT116D
48  */
49 
50 /**
51   @brief         Hft116d window generating function (f64).
52   @param[out]    pDst       points to the output generated window
53   @param[in]     blockSize  number of samples in the window
54   @return        none
55 
56   @par Parameters of the window
57 
58   | Parameter                             | Value              |
59   | ------------------------------------: | -----------------: |
60   | Peak sidelobe level                   |          116.8 dB  |
61   | Normalized equivalent noise bandwidth |       4.2186 bins  |
62   | 3 dB bandwidth                        |       4.1579 bins  |
63   | Flatness                              |        -0.0028 dB  |
64   | Recommended overlap                   |            78.2 %  |
65 
66 Included in CMSIS-DSP with authorization from professor
67 Gerhard Heinzel.
68 
69 @par Original article:
70 Spectrum and spectral density estimation by the Discrete Fourier
71 transform (DFT), including a comprehensive list of window
72 functions and some new
73 flat-top windows.
74 
75 @par Authors:
76 G. Heinzel, A. Rudiger and R. Schilling,
77 Max-Planck-Institut fur Gravitationsphysik
78 (Albert-Einstein-Institut)
79 Teilinstitut Hannover
80  */
81 
82 
83 
arm_hft116d_f64(float64_t * pDst,uint32_t blockSize)84 void arm_hft116d_f64(
85         float64_t * pDst,
86         uint32_t blockSize)
87 {
88    float64_t k = 2. / ((float64_t) blockSize);
89    float64_t w;
90 
91    for(uint32_t i=0;i<blockSize;i++)
92    {
93     w = PI_F64 * (i * k);
94         w =
95     (1.0 -
96      1.9575375 * cos (w) +
97      1.4780705 * cos (2 * w) -
98      0.6367431 * cos (3 * w) +
99      0.1228389 * cos (4 * w) - 0.0066288 * cos (5 * w));
100 
101      pDst[i] = w;
102    }
103 }
104 
105 /**
106   @} end of WindowFlat group
107  */
108 
109