翻译Applies on the right the rotation represented by the rotation rotation to *this and returns a reference to *this. The template parameter RotationType is the type of the rotation which must be known by internal::toRotationMatrix<>. Natively supported types includes: - any scalar (2D), - a Dim x Dim matrix expression, - a Quaternion (3D), - a AngleAxis (3D) This mechanism is easily extendable to support user types such as Euler angles, or a pair of Quaternion for 4D rotations.
时间: 2024-01-10 11:04:56 浏览: 25
将由旋转rotation表示的旋转应用于*this,并返回对*this的引用。模板参数RotationType是旋转的类型,必须由internal :: toRotationMatrix <>所知道。本机支持的类型包括:-任意标量(2D),-Dim x Dim矩阵表达式,-四元数(3D),-AngleAxis(3D)此机制易于扩展以支持用户类型,例如欧拉角或一对四元数进行4D旋转。
相关问题
Write two Matlab functions that will apply the differentiator and integrator systems designed in section 2.1 to arbitrary input signals. T
Here are two Matlab functions that apply a differentiator and integrator system to arbitrary input signals:
1. Function for Differentiator System:
```matlab
function y = differentiator(x, fs)
% x: input signal
% fs: sampling frequency
% Differentiator Coefficients
a = [1 -1];
b = [1 0];
% Filter Signal
y = filter(b, a, x);
% Scale Filter Response
y = y .* (fs/2);
end
```
2. Function for Integrator System:
```matlab
function y = integrator(x, fs)
% x: input signal
% fs: sampling frequency
% Integrator Coefficients
a = [1 -1];
b = [1 1];
% Filter Signal
y = filter(b, a, x);
% Scale Filter Response
y = y ./ (fs/2);
end
```
Both functions take an input signal `x` and the sampling frequency `fs` as input arguments. The differentiator function applies a high-pass filter to the input signal, which amplifies the high frequency components of the signal and attenuates the low frequency components. The integrator function applies a low-pass filter to the input signal, which amplifies the low frequency components of the signal and attenuates the high frequency components.
Both functions use the `filter` function in Matlab to apply the filter coefficients to the input signal. After filtering, the output signal is scaled by a factor of `fs/2` for the differentiator function and `1/(fs/2)` for the integrator function to ensure that the gain of the filter is 1 at DC.
how to call the function of object in np.array
To call a function of an object in a NumPy array, you can use the `np.vectorize` function. This function applies a function to each element of a NumPy array, including elements that are objects.
Here is an example:
```python
import numpy as np
class Person:
def __init__(self, name):
self.name = name
def say_hello(self):
print(f"Hello, my name is {self.name}")
people = np.array([Person('John'), Person('Jane'), Person('Bob')])
# Define a function to call the say_hello method
def call_say_hello(person):
person.say_hello()
# Use np.vectorize to call the say_hello method on each person
vectorized_func = np.vectorize(call_say_hello)
vectorized_func(people)
```
Output:
```
Hello, my name is John
Hello, my name is Jane
Hello, my name is Bob
```
In this example, we create a NumPy array of `Person` instances. We define a function `call_say_hello` that calls the `say_hello` method on a `Person` instance. We then use `np.vectorize` to apply this function to each element of the `people` array and call the `say_hello` method on each `Person` object.