Shadow mapping: project world-space pixel to light-space

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I'm writing shadow mapping in deferred shading.

Here is my depth map for directional light (orthogonal projection):

depth map

Below is my full-screen quad shader to render pixel's depth in light view space:

#version 330

in vec2 texCoord;
out vec3 fragColor;

uniform mat4 lightViewProjMat; // lightView * lightProj

uniform sampler2D sceneTexture;
uniform sampler2D shadowMapTexture;
uniform sampler2D scenePosTexture;

void main() {
    vec4 fragPos = texture(scenePosTexture, texCoord);
    vec4 fragPosLightSpace = lightViewProjMat * fragPos;

    vec3 coord = fragPosLightSpace.xyz / fragPosLightSpace.w;
    coord = coord * 0.5 + 0.5;

    float lightViewDepth = texture(shadowMapTexture, coord.xy).x;
    fragColor = vec3(lightViewDepth);
}

Render size is 1280x720, depth map's size is 512x512 and look like it is repeating the depth map in my scene. I think my projection for coord isn't right. I want to see if the depth from pixel to light is correct. Could someone give me some suggestions?

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Manh Nguyen Tien On BEST ANSWER

Solved myself, the problem is depth saving. I saved wrong depth value, should have used gl_FragCoord.z instead.